SK TUITIONS • CLASS 9 CBSE SCIENCE

Journey Inside the Atom – 100 Question Bank

NCERT • NCERT Exemplar Level • Numericals • Competency Based • HOTS • Olympiad

Complete chapter practice with detailed solutions and progressively increasing difficulty.

30MCQs
152 Markers
203 Markers
154 Markers
5Case Studies
15Exemplar/HOTS

Complete Chapter Coverage

Ancient Atomic Ideas
Acharya Kanada & Parmanu
Leucippus & Democritus
Dalton’s Atomic Theory
Radioactivity & Divisibility
Cathode Ray Experiment
Discovery of Electron
Thomson’s Atomic Model
Plum Pudding Model
Gold Foil Experiment
Alpha-Particle Scattering
Rutherford’s Nuclear Model
Empty Space in Atom
Size of Atom & Nucleus
Limitations of Rutherford Model
Discovery of Proton
Electrical Neutrality
Bohr’s Atomic Model
Stationary States
K, L, M, N Shells
Energy Levels
Discovery of Neutron
Subatomic Particles
Relative Charges
Symbols of Elements
IUPAC Symbol Rules
Latin-Derived Symbols
Atomic Number Z
Mass Number A
Nucleons
Atomic Notation
Bohr–Bury Rules
2n² Rule
Electronic Configuration
First 18 Elements
Valence Shell
Valence Electrons
Octet Stability
Valency
Isotopes
Hydrogen Isotopes
Carbon Isotopes
Applications of Isotopes
Average Atomic Mass
Weighted Average
Isobars
Modern Atomic Model
Atomic-Structure Numericals

Section A – 30 Multiple Choice Questions

From textbook fundamentals to calculation-based and higher-order questions.

Q1
Acharya Kanada used which term for the smallest indivisible particles of matter?
  • (A) Atomos
  • (B) Parmanu
  • (C) Nucleon
  • (D) Electron
View Detailed Answer

Correct option: (B) Parmanu.

Kanada proposed that repeated division of matter would eventually lead to particles that could not be divided further. He called them parmanus.

Q2
The Greek word atomos used by Leucippus and Democritus means:
  • (A) positively charged
  • (B) divisible
  • (C) indivisible
  • (D) radioactive
View Detailed Answer

Correct option: (C).

Q3
Which scientist proposed the first scientific atomic theory based on experimental evidence in 1808?
  • (A) Niels Bohr
  • (B) John Dalton
  • (C) James Chadwick
  • (D) Ernest Rutherford
View Detailed Answer

Correct option: (B) John Dalton.

Q4
J. J. Thomson concluded that cathode rays consist of:
  • (A) positively charged particles
  • (B) neutral particles
  • (C) negatively charged particles
  • (D) alpha particles
View Detailed Answer

Correct option: (C).

These negatively charged particles were later called electrons.

Q5
Why did Thomson conclude that electrons are present in all atoms?
  • (A) Cathode rays occurred only with hydrogen.
  • (B) Cathode rays were independent of the cathode material and gas used.
  • (C) Electrons were visible through a microscope.
  • (D) All atoms emitted alpha particles.
View Detailed Answer

Correct option: (B).

The same type of negatively charged particle was obtained regardless of the material of the cathode or the gas in the tube.

Q6
In Thomson’s model, the atom was visualised as:
  • (A) a dense nucleus with empty space
  • (B) a positive sphere containing embedded electrons
  • (C) neutrons surrounded by protons
  • (D) electrons arranged only in the K-shell
View Detailed Answer

Correct option: (B).

This is commonly called the plum-pudding model.

Q7
In Rutherford’s gold-foil experiment, most alpha particles:
  • (A) bounced directly backward.
  • (B) passed through without appreciable deflection.
  • (C) disappeared inside the foil.
  • (D) became electrons.
View Detailed Answer

Correct option: (B).

This led Rutherford to conclude that most of the volume of an atom is empty space.

Q8
The sharp deflection or backward scattering of a few alpha particles showed that:
  • (A) positive charge is spread uniformly through the atom.
  • (B) the atom contains no positive charge.
  • (C) positive charge and most mass are concentrated in a tiny region.
  • (D) electrons form the nucleus.
View Detailed Answer

Correct option: (C).

The tiny dense central region was called the nucleus.

Q9
The approximate diameter of an atom is 10−10 m and that of its nucleus is 10−15 m. The atom’s diameter is approximately how many times that of its nucleus?
Numerical
  • (A) 10²
  • (B) 10³
  • (C) 10⁵
  • (D) 10¹⁵
View Detailed Answer
Ratio = 10−10 / 10−15 = 105

Correct option: (C).

Q10
The major limitation of Rutherford’s atomic model was that it could not explain:
  • (A) the existence of a nucleus.
  • (B) atomic stability.
  • (C) positive charge of protons.
  • (D) empty space in an atom.
View Detailed Answer

Correct option: (B).

A revolving charged electron was expected to lose energy, spiral inward and eventually fall into the nucleus, which contradicts the observed stability of atoms.

Q11
An electrically neutral atom contains 13 protons. How many electrons does it contain?
Numerical
  • (A) 10
  • (B) 12
  • (C) 13
  • (D) 26
View Detailed Answer

Correct option: (C).

In a neutral atom:

Number of electrons = number of protons = 13
Q12
According to Bohr’s model, an electron moving in an allowed stationary shell:
  • (A) continuously loses energy.
  • (B) has no definite energy.
  • (C) does not lose energy while remaining in that shell.
  • (D) may stay anywhere between two shells.
View Detailed Answer

Correct option: (C).

Q13
Which sequence correctly represents increasing distance and energy of Bohr shells from the nucleus?
  • (A) N → M → L → K
  • (B) K → L → M → N
  • (C) M → K → N → L
  • (D) L → K → N → M
View Detailed Answer

Correct option: (B).

K is closest to the nucleus and has the lowest energy; energy increases outward.

Q14
James Chadwick discovered a particle that:
  • (A) has charge −1 and negligible mass.
  • (B) has charge +1.
  • (C) has no charge and mass nearly equal to that of a proton.
  • (D) moves only in the K-shell.
View Detailed Answer

Correct option: (C) Neutron.

Q15
Which set gives the correct relative charges?
  • (A) electron +1, proton −1, neutron 0
  • (B) electron −1, proton +1, neutron 0
  • (C) electron 0, proton +1, neutron −1
  • (D) electron −1, proton 0, neutron +1
View Detailed Answer

Correct option: (B).

Q16
Which chemical symbol is written correctly?
  • (A) AL
  • (B) co
  • (C) Cl
  • (D) na
View Detailed Answer

Correct option: (C) Cl.

The first letter is uppercase and the second letter, when present, is lowercase.

Q17
The atomic number Z of an element is equal to the number of:
  • (A) protons only
  • (B) neutrons only
  • (C) protons + neutrons
  • (D) neutrons + electrons
View Detailed Answer

Correct option: (A).

Q18
An atom contains 17 protons and 18 neutrons. Its mass number is:
Numerical
  • (A) 17
  • (B) 18
  • (C) 35
  • (D) 36
View Detailed Answer
A = protons + neutrons = 17 + 18 = 35

Correct option: (C).

Q19
An atom has mass number 31 and atomic number 15. Its number of neutrons is:
Numerical
  • (A) 15
  • (B) 16
  • (C) 31
  • (D) 46
View Detailed Answer
n = A − Z = 31 − 15 = 16

Correct option: (B).

Q20
According to the 2n² rule, the maximum number of electrons in the L-shell is:
  • (A) 2
  • (B) 8
  • (C) 18
  • (D) 32
View Detailed Answer

For L-shell, n = 2.

Maximum = 2n² = 2×2² = 8

Correct option: (B).

Q21
The correct electronic configuration of magnesium, Z = 12, is:
Exemplar Level
  • (A) 2, 8, 2
  • (B) 2, 6, 4
  • (C) 8, 2, 2
  • (D) 3, 8, 1
View Detailed Answer

Correct option: (A) 2, 8, 2.

Q22
An atom has electronic configuration 2, 6. Its usual valency is:
  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 6
View Detailed Answer

Correct option: (C).

It needs two more electrons to complete the octet.

Q23
Why is the valency of neon zero?
  • (A) It contains no electrons.
  • (B) Its valence shell already has a complete octet.
  • (C) It contains no neutrons.
  • (D) Its atomic number is zero.
View Detailed Answer

Correct option: (B).

Q24
Two atoms have atomic number 6 but mass numbers 12 and 14. They are:
  • (A) isobars
  • (B) isotopes
  • (C) different ions
  • (D) different elements with identical nuclei
View Detailed Answer

Correct option: (B) Isotopes.

Q25
How many neutrons are present in carbon-14?
Numerical
  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 14
View Detailed Answer

Carbon has Z = 6.

n = 14−6 = 8

Correct option: (C).

Q26
Which pair represents isobars?
  • (A) ³⁵Cl and ³⁷Cl
  • (B) ¹²C and ¹⁴C
  • (C) ⁴⁰Ar and ⁴⁰Ca
  • (D) protium and deuterium
View Detailed Answer

Correct option: (C).

Isobars have the same mass number but different atomic numbers.

Q27
Chlorine contains 75% atoms of mass 35 u and 25% atoms of mass 37 u. Its weighted average atomic mass is:
Numerical
  • (A) 35.0 u
  • (B) 35.5 u
  • (C) 36.0 u
  • (D) 37.0 u
View Detailed Answer
Average = 35×0.75 + 37×0.25 = 26.25 + 9.25 = 35.5 u

Correct option: (B).

Q28
The electronic configuration of phosphorus, atomic number 15, is:
  • (A) 2, 8, 5
  • (B) 2, 5, 8
  • (C) 8, 7
  • (D) 2, 8, 4, 1
View Detailed Answer

Correct option: (A).

Q29
An electrically neutral atom has mass number 56 and atomic number 26. Which set is correct?
Numerical
  • (A) p = 26, e = 26, n = 30
  • (B) p = 30, e = 26, n = 26
  • (C) p = 26, e = 30, n = 26
  • (D) p = 56, e = 26, n = 30
View Detailed Answer
p = Z = 26
e = 26
n = A−Z = 56−26 = 30

Correct option: (A).

Q30
If a much thicker gold foil were used in Rutherford’s scattering experiment, the probability of an alpha particle encountering or passing close to nuclei would generally:
HOTS
  • (A) decrease to zero.
  • (B) increase.
  • (C) remain necessarily identical.
  • (D) prove that atoms contain no empty space.
View Detailed Answer

Correct option: (B).

A thicker foil contains more atomic layers, increasing the opportunities for scattering interactions.

Section B – 15 Two-Mark Questions

Definitions, comparisons, short calculations and scientific reasoning.

Q31
How did the ancient atomic ideas of Kanada differ from Dalton’s theory in scientific basis?
View Detailed Answer

Kanada’s concept of parmanu was a philosophical explanation of matter rather than one derived from controlled experiments.

Dalton’s theory, proposed much later, was based on scientific evidence and became the first experimental scientific description of atoms.

Q32
State two conclusions obtained from Thomson’s cathode-ray experiments.
View Detailed Answer
  • Cathode rays consist of negatively charged particles called electrons.
  • Their nature was independent of the cathode material and gas, suggesting that electrons are fundamental components of all atoms.
Q33
State two important observations of Rutherford’s gold-foil experiment.
View Detailed Answer
  • Most alpha particles passed straight through the foil without deflection.
  • A small fraction were deflected through large angles and a very few bounced backward.
Q34
What did the two observations in Q33 reveal about atomic structure?
View Detailed Answer
  • Most of an atom is empty space.
  • Almost all its positive charge and most of its mass are concentrated in a tiny dense nucleus.
Q35
Why could Rutherford’s planetary model not explain atomic stability?
View Detailed Answer

A revolving electron is continuously changing direction and is therefore accelerating. Under the classical picture used in discussing Rutherford’s model, such a charged particle should lose energy, spiral inward and fall into the nucleus.

Real atoms are stable, so the model was incomplete.

Q36
How did Bohr modify Rutherford’s idea to explain atomic stability?
View Detailed Answer

Bohr proposed that electrons can occupy only certain allowed stationary energy levels or shells.

While an electron remains in an allowed stationary state, it does not lose energy. This prevented the predicted continuous spiral into the nucleus.

Q37
An atom has Z = 20 and A = 41. Find protons, electrons and neutrons.
Numerical
View Detailed Answer
Protons = Z = 20

For a neutral atom:

Electrons = 20
Neutrons = A−Z = 41−20 = 21
Q38
An atom has 18 neutrons and atomic number 17. Calculate its mass number and number of electrons.
Numerical
View Detailed Answer
A = p+n = 17+18 = 35

Since the atom is neutral:

Electrons = 17
Q39
Using 2n², find the theoretical maximum electron capacity of the K, L and M shells.
Numerical
View Detailed Answer
K: 2(1)² = 2
L: 2(2)² = 8
M: 2(3)² = 18
Q40
Write the electronic configurations of elements with atomic numbers 12, 16 and 18.
View Detailed Answer

Z = 12: 2, 8, 2

Z = 16: 2, 8, 6

Z = 18: 2, 8, 8

Q41
Define valence shell and valence electrons.
View Detailed Answer

The valence shell is the outermost shell of an atom that contains electrons.

The electrons present in this shell are called valence electrons.

Q42
Why do carbon and oxygen have valencies 4 and 2 respectively?
View Detailed Answer

Carbon: 2,4. It has four valence electrons and commonly shares four electrons to complete an octet, giving valency 4.

Oxygen: 2,6. It needs two additional electrons to complete an octet, giving valency 2.

Q43
Differentiate between isotopes and isobars.
View Detailed Answer
IsotopesIsobars
Same element and same atomic number. Different elements and different atomic numbers.
Different mass numbers. Same mass number.
Example: ³⁵Cl and ³⁷Cl. Example: ⁴⁰Ar and ⁴⁰Ca.
Q44
Why do isotopes of an element generally show similar chemical properties?
View Detailed Answer

Isotopes have the same atomic number and hence the same number of electrons in neutral atoms.

They therefore have the same electronic configuration and the same number of valence electrons, which largely determine chemical behaviour.

Q45
Calculate the weighted average atomic mass of an element having 80% isotope X-10 and 20% isotope X-11.
Numerical
View Detailed Answer
Average mass = 10×0.80 + 11×0.20
= 8 + 2.2 = 10.2 u

Section C – 20 Three-Mark Questions

Numericals, electronic configurations, atomic models and isotope calculations.

Q46
An atom has atomic number 11 and mass number 23. Determine its protons, neutrons, electrons, electronic configuration and valency.
Complete Atomic Numerical
View Detailed Answer
Protons = Z = 11
Electrons = 11
Neutrons = 23−11 = 12

Electronic configuration:

2, 8, 1

It can lose one valence electron to obtain a stable octet. Therefore:

Valency = 1

The element is sodium, Na.

Q47
An atom has 16 protons and 16 neutrons. Find Z, A, electrons, electronic configuration and valency.
Numerical
View Detailed Answer
Z = 16
A = 16+16 = 32

Neutral atom:

Electrons = 16

Configuration:

2, 8, 6

It needs two electrons for a complete octet:

Valency = 2

The element is sulfur.

Q48
An element X has mass number 35 and contains 18 neutrons. Identify X and determine its electronic configuration and valency.
Textbook-Based Numerical
View Detailed Answer
Z = A−n = 35−18 = 17

Atomic number 17 corresponds to chlorine.

Electronic configuration = 2, 8, 7

It needs one electron to complete the octet:

Valency = 1
Q49
Calculate protons, neutrons and electrons in 19779Au.
Atomic Notation
View Detailed Answer
Protons = 79
Electrons = 79
Neutrons = 197−79 = 118
Q50
For 70X having 31 electrons in a neutral atom, calculate its atomic number, protons and neutrons.
Textbook Exercise Numerical
View Detailed Answer

For a neutral atom:

Protons = electrons = 31
Z = 31
Neutrons = 70−31 = 39
Q51
An atom contains 15 protons and 16 neutrons. Write its atomic notation, electronic configuration and valency.
View Detailed Answer
Z = 15
A = 15+16 = 31

Element: phosphorus, P.

Atomic notation = ³¹₁₅P
Electronic configuration = 2, 8, 5

It requires three electrons to complete an octet:

Valency = 3
Q52
Element A has configuration 2,8,2 and element B has configuration 2,8,7. Find their atomic numbers, valence electrons and usual valencies.
View Detailed Answer
Element A Element B
Total electrons / Z 12 17
Valence electrons 2 7
Valency 2 1

A corresponds to magnesium and B to chlorine.

Q53
Explain the relationship between the following species: (i) one atom with 17 protons and 18 neutrons; (ii) another atom with 17 protons and 20 neutrons.
View Detailed Answer

Both have:

Z = 17

Therefore they are atoms of the same element.

Their mass numbers are:

A₁ = 17+18 = 35
A₂ = 17+20 = 37

They have the same atomic number but different mass numbers, so they are isotopes.

Q54
Species X contains 18 protons and 19 neutrons, while Y contains 17 protons and 20 neutrons. Find their mass numbers and state their relationship.
Numerical
View Detailed Answer
AX = 18+19 = 37
AY = 17+20 = 37

They have the same mass number but different atomic numbers. Therefore X and Y are isobars.

Q55
The two isotopes of chlorine occur in a 3:1 ratio and have masses 35 u and 37 u. Calculate the weighted average atomic mass without converting the ratio to percentages first.
Weighted Average
View Detailed Answer
Average = (3×35 + 1×37)/(3+1)
= (105+37)/4 = 142/4 = 35.5 u
Q56
Bromine occurs as Br-79 (49.7%) and Br-81 (50.3%). Calculate its weighted average atomic mass.
Textbook Numerical
View Detailed Answer
Average = 79×0.497 + 81×0.503
= 39.263 + 40.743 ≈ 80.006 u

Therefore the average atomic mass is approximately 80.0 u.

Q57
An element has isotopes of mass 20 u and 22 u in equal abundance. Find its average atomic mass. How would the answer change if the abundance became 90% and 10% respectively?
Weighted Average
View Detailed Answer

Equal abundance:

Average = (20+22)/2 = 21 u

90% mass-20 and 10% mass-22:

Average = 20×0.90 + 22×0.10
= 18 + 2.2 = 20.2 u

Greater abundance of the lighter isotope shifts the average toward 20 u.

Q58
Explain why 35.5 u as the average atomic mass of chlorine does not mean that an individual chlorine atom has a mass number of 35.5.
View Detailed Answer

Mass number counts protons and neutrons and is therefore a whole number for an individual atom.

Natural chlorine contains atoms of different isotopes, mainly mass numbers 35 and 37. The value 35.5 u is a weighted statistical average over a large population of chlorine atoms.

Q59
Give the scientific uses of U-235, Co-60 and C-14 stated in the chapter.
View Detailed Answer
  • U-235: fuel in nuclear reactors for generation of electricity.
  • Co-60: radioactive isotope used in radiation treatment for cancer.
  • C-14: used in archaeology and geology to estimate the age of ancient fossils and artefacts.
Q60
Explain why Thomson’s model was incompatible with Rutherford’s scattering results.
View Detailed Answer

Thomson proposed a diffuse distribution of positive charge. Such a diffuse charge could produce only relatively small deflections.

Rutherford’s experiment showed that a few alpha particles experienced very large deflections or even bounced backward.

This required a highly concentrated, massive, positively charged region: the nucleus.

Q61
Why does the electron distribution 2,8,8 represent a relatively stable atom, whereas 2,8,7 represents a more reactive one?
View Detailed Answer

2,8,8 has eight electrons in the outermost shell, giving a complete octet. Such a configuration is largely stable and unreactive.

2,8,7 has an incomplete valence shell and needs one electron to attain an octet. It therefore has a stronger tendency to participate in chemical combination.

Q62
An atom has configuration 2,8,3. State its atomic number, valence electrons, valency and whether it would tend to gain or lose electrons under the simple octet model.
View Detailed Answer
Atomic number = total electrons = 2+8+3 = 13

Valence electrons = 3.

Since there are fewer than four valence electrons, the simple rule predicts loss of three electrons.

Valency = 3
Q63
An atom has configuration 2,8,5. Determine Z and valency. How many electrons would be required to complete its octet?
View Detailed Answer
Z = 2+8+5 = 15

It has five valence electrons.

Electrons needed = 8−5 = 3
Valency = 3
Q64
A textbook page is 0.1 mm thick. Estimate how many atoms, each of approximate diameter 10−10 m, would have to be stacked to span the thickness.
Scale Numerical HOTS
View Detailed Answer

Convert 0.1 mm:

0.1 mm = 10−4 m
Number = 10−4 / 10−10 = 106

Approximately one million atoms would span the thickness in this simplified estimate.

Q65
Arrange Dalton, Thomson, Rutherford and Bohr in chronological order and give the key advance associated with each.
View Detailed Answer
  1. Dalton: atoms treated as indivisible building blocks of matter.
  2. Thomson: introduced internal positive and negative charge through the electron-containing positive sphere.
  3. Rutherford: discovered the nuclear structure and large empty space.
  4. Bohr: introduced fixed allowed energy levels or stationary shells.

Section D – 15 Four-Mark Questions

Detailed explanations, model analysis and multi-stage numerical reasoning.

Q66
Describe Rutherford’s gold-foil experiment, its principal observations and the conclusions drawn from them.
View Detailed Answer

Geiger and Marsden, working under Rutherford, directed a narrow beam of positively charged alpha particles at an extremely thin gold foil.

Observations:

  • Most alpha particles passed straight through.
  • Some were deflected through small or large angles.
  • A very small number bounced back.

Conclusions:

  • Most of an atom is empty space.
  • Positive charge is not spread uniformly.
  • A tiny dense positively charged nucleus is present at the centre.
  • The nucleus contains most of the atomic mass.
Q67
Compare Thomson’s, Rutherford’s and Bohr’s models of the atom.
View Detailed Answer
Model Main Idea Major Issue / Advance
Thomson Electrons embedded in a sphere of positive charge. Explained overall neutrality but not large-angle alpha scattering.
Rutherford Tiny positive nucleus with electrons revolving around it; most atom empty. Explained scattering but could not explain stability.
Bohr Electrons restricted to fixed stationary energy levels. Introduced allowed shells in which electrons do not continuously lose energy.
Q68
State the major postulates of Bohr’s atomic model taught in the chapter.
View Detailed Answer
  • Electrons move in fixed allowed paths called shells, orbits or stationary states.
  • Each shell has a definite energy and is therefore an energy level.
  • Shells are represented as K, L, M, N… or n = 1,2,3,4…
  • Electrons cannot occupy arbitrary positions between allowed shells.
  • An electron in a stationary state does not lose energy.
  • Energy increases as the shells become farther from the nucleus.
  • An electron moves between levels only by absorbing or releasing a fixed amount of energy equal to the energy difference.
Q69
Explain the discovery and importance of the neutron in resolving the puzzle of atomic mass.
View Detailed Answer

Atoms such as helium were much heavier than could be explained by their number of protons alone.

James Chadwick discovered the neutron in 1932. It has no electrical charge but a mass nearly equal to that of a proton.

Protons and neutrons together account for almost all atomic mass because electron mass is comparatively negligible.

Thus:

Mass number A = protons + neutrons
Q70
Complete the atomic information for an atom with Z = 14 and A = 28: element, p, n, e, electronic configuration, valence electrons and valency.
Integrated Numerical
View Detailed Answer

Z = 14 corresponds to silicon, Si.

Protons = 14
Electrons = 14
Neutrons = 28−14 = 14
Electronic configuration = 2,8,4

Valence electrons = 4.

Silicon has four valence electrons; under the chapter’s simple combining-capacity treatment:

Valency = 4
Q71
Complete the following table and show your calculations.
Z A p n e
5 ? ? 6 ?
? 24 12 ? ?
15 ? ? 16 ?
Table Numerical
View Detailed Answer

Row 1:

p = Z = 5
e = 5
A = 5+6 = 11

Row 2:

Z = p = 12
e = 12
n = 24−12 = 12

Row 3:

p = e = 15
A = 15+16 = 31
ZApne
511565
1224121212
1531151615
Q72
An element X has mass number 35 and 18 neutrons. Two neutrons are then added to form atom Y without changing the proton number. Determine all relevant changes and the relationship between X and Y.
Textbook HOTS Numerical
View Detailed Answer

For X:

Z = 35−18 = 17

X is chlorine and has 17 protons and, when neutral, 17 electrons.

Adding two neutrons:

New neutrons = 20
New A = 17+20 = 37

Atomic number and electron configuration remain unchanged because the number of protons does not change.

X and Y are therefore isotopes of chlorine: chlorine-35 and chlorine-37.

Q73
An element has two isotopes of masses 24 u and 26 u. Their natural abundances are 60% and 40%. Calculate the average atomic mass. What would it become if the abundances were reversed?
Weighted Average Numerical
View Detailed Answer

60% mass-24 and 40% mass-26:

Average = 24×0.60 + 26×0.40
= 14.4 + 10.4 = 24.8 u

Reversed abundances:

Average = 24×0.40 + 26×0.60
= 9.6+15.6 = 25.2 u
Q74
An element has two isotopes X-35 and X-37 and an average atomic mass of 35.6 u. Calculate the percentage abundance of each isotope.
Reverse Weighted Average HOTS
View Detailed Answer

Let fraction of X-35 = x.

Then fraction of X-37 = 1−x.

35x + 37(1−x) = 35.6
35x + 37 − 37x = 35.6
2x = 1.4
x = 0.70

Therefore:

X-35 = 70%
X-37 = 30%
Q75
Explain why changing the number of neutrons may produce an isotope without changing the identity or usual chemical behaviour of an element.
View Detailed Answer

Element identity is determined by atomic number, which equals the number of protons.

Changing only the neutron count changes the mass number but leaves the atomic number unchanged.

For a neutral atom the electron count and electronic configuration are therefore unchanged.

Since chemical properties depend mainly on valence electrons, isotopes usually have similar chemical properties.

Q76
Explain how the Bohr–Bury rules are applied to write electronic configurations for the first eighteen elements.
View Detailed Answer
  • The theoretical maximum capacity of shell n is 2n².
  • Thus K can hold 2, L can hold 8 and M can theoretically hold 18.
  • The outermost shell can contain a maximum of eight electrons in the treatment used here, except K which can contain only two.
  • Electrons fill shells stepwise from the innermost outward: K, then L, then M…
  • For the first 18 elements this gives configurations from H = 1 through Ar = 2,8,8.
Q77
Determine the electronic configuration, valence electrons and usual valency of Na, Mg, Al, Si, P, S, Cl and Ar.
View Detailed Answer
Element Configuration Valence e⁻ Valency
Na2,8,111
Mg2,8,222
Al2,8,333
Si2,8,444
P2,8,553
S2,8,662
Cl2,8,771
Ar2,8,880
Q78
The diameter of an atom is about 105 times the diameter of its nucleus. If a model atom has a diameter of 100 m, estimate the nucleus diameter.
Scale Numerical
View Detailed Answer
Nucleus diameter = 100 / 105 m
= 10−3 m = 1 mm

This illustrates how extraordinarily small the nucleus is compared with the atom.

Q79
Suppose the 12 electrons of a neutral magnesium atom were replaced by hypothetical particles having the same charge as electrons but 500 times their mass. Discuss the effects on atomic number, mass number, overall charge and actual atomic mass.
Textbook HOTS
View Detailed Answer

Atomic number: unchanged at 12 because it depends on protons.

Mass number: unchanged because mass number counts protons and neutrons only.

Overall charge: remains neutral because the replacement particles have the same negative charge and their number still equals the proton count.

Actual atomic mass: would increase because the negatively charged particles are now far heavier than ordinary electrons.

This question distinguishes mass number from the actual physical mass of an atom.
Q80
Explain how the history from Dalton to the modern electron-cloud picture illustrates the nature of scientific models.
View Detailed Answer

Dalton’s model treated atoms as indivisible particles. Electron discovery showed internal structure, leading Thomson to a charged-sphere model.

Rutherford’s scattering evidence replaced diffuse positive charge with a tiny nucleus. Rutherford’s stability problem led Bohr to stationary energy levels.

Later evidence showed that electrons do not literally follow fixed classical orbits; modern descriptions use probability-based electron clouds.

The sequence demonstrates that scientific models are revised when new experimental evidence reveals limitations of earlier explanations.

Section E – 5 Competency-Based Case Studies

CBSE-style integrated applications with multiple sub-parts.

Q81 – Rutherford’s Unexpected Results

Scattering • Nuclear Model • Scientific Evidence
A beam of positively charged alpha particles is directed at an extremely thin metallic foil. Most particles pass almost straight through. A small fraction changes direction substantially, while a very small number returns toward the source.

(a) Why was the first observation important?

(b) What did the large deflections imply?

(c) Why did the result contradict Thomson’s model?

(d) What would you predict qualitatively if a much thicker foil were used?

View Detailed Case Study Solution

(a) Most particles passing through indicated that most atomic volume is empty space.

(b) Large deflections required a tiny, dense region containing positive charge and most atomic mass.

(c) Thomson’s diffuse positive charge could not satisfactorily account for the very large deflections and backward scattering.

(d) More atomic layers would increase the probability of scattering interactions, so a larger fraction would be expected to undergo deflections.

Q82 – Atomic Detective

Atomic Number • Mass Number • Configuration • Valency
An unknown neutral atom X has mass number 24. Its nucleus contains 12 protons.

(a) Find its atomic number.

(b) Find its number of neutrons.

(c) Find its number of electrons.

(d) Write its electronic configuration.

(e) Identify the element and determine its valency.

View Detailed Case Study Solution

(a)

Z = 12

(b)

n = 24−12 = 12

(c)

e = 12

(d)

2, 8, 2

(e) Atomic number 12 is magnesium, Mg. It has two valence electrons and usual valency 2.

Q83 – Medical and Scientific Isotopes

Isotopes • Nuclear Applications • Atomic Structure
Different isotopes are useful in medicine, energy and archaeology. Examples discussed in the chapter include uranium-235, cobalt-60, iodine-131 and carbon-14.

(a) Define isotope.

(b) Which isotope is used as nuclear-reactor fuel?

(c) Which isotope is associated with cancer radiation treatment?

(d) Which isotope helps determine the age of ancient materials?

(e) Why can isotopes of one element have similar chemical properties despite different masses?

View Detailed Case Study Solution

(a) Isotopes are atoms of the same element having the same atomic number but different mass numbers.

(b) U-235.

(c) Co-60.

(d) C-14.

(e) They have the same atomic number and therefore the same electronic configuration and valence-electron arrangement in neutral atoms.

Q84 – Natural Chlorine

Isotopic Abundance • Weighted Average • Numerical Reasoning
A sample contains 750,000 atoms of chlorine-35 and 250,000 atoms of chlorine-37.

(a) What percentage of the sample is Cl-35?

(b) What percentage is Cl-37?

(c) Calculate the average atomic mass.

(d) Do any individual chlorine atoms need to have a mass of 35.5 u?

View Detailed Case Study Solution

Total atoms = 1,000,000.

(a)

750000/1000000 ×100 = 75%

(b)

25%

(c)

35×0.75 + 37×0.25 = 35.5 u

(d) No. 35.5 u is the weighted average for the population; individual isotopes have their own integral mass numbers.

Q85 – Building the First Eighteen Atoms

Bohr–Bury Rules • Shell Filling • Valency
Four neutral atoms have atomic numbers 8, 10, 13 and 17.

(a) Write the electronic configuration of each.

(b) Which atom has a complete valence shell?

(c) Which atom has valency 3?

(d) Which atom has seven valence electrons?

(e) Identify all four elements.

View Detailed Case Study Solution
Z Element Configuration Valency
8Oxygen2,62
10Neon2,80
13Aluminium2,8,33
17Chlorine2,8,71

(b) Neon.

(c) Aluminium.

(d) Chlorine.

Section F – 15 NCERT Exemplar-Level + Olympiad/HOTS Questions

Advanced atomic-structure reasoning, isotope calculations, ion extensions, scale estimation and unfamiliar-data problems.

Q86
Exemplar Extension: An atom has mass number 27 and 14 neutrons. It loses three electrons. Determine its atomic number, number of protons, number of electrons after the loss, and the charge on the resulting species.
NCERT Exemplar Extension Numerical
View Challenge Solution
Z = A−n = 27−14 = 13

Protons = 13.

The neutral atom initially had 13 electrons.

Electrons after losing 3 = 10

There are now three more protons than electrons:

Charge = +3
Ion calculations are an NCERT Exemplar extension to the uploaded chapter’s treatment of electron loss/gain and valency.
Q87
Exemplar Extension: An atom with electronic configuration 2,8,1 loses its outermost electron. What will be the new electron distribution and charge?
Exemplar Extension
View Challenge Solution

Initial electron number = 11.

After loss of one electron:

Configuration = 2,8

The proton number has not changed, so there is one extra positive charge:

Charge = +1
Q88
An atom with configuration 2,8,6 acquires enough electrons to achieve a stable octet. Determine the number gained and the charge on the resulting species.
Exemplar Extension
View Challenge Solution

There are six valence electrons.

Electrons required = 8−6 = 2

Gaining two electrons produces two additional negative charges:

Charge = −2
Q89
Helium has two electrons in its valence shell. Why is its valency zero rather than two?
NCERT Exemplar Level
View Challenge Solution

The K-shell is the first shell and can accommodate a maximum of only two electrons.

Helium therefore already has a completely filled outermost shell and does not need to gain, lose or share electrons to obtain stability.

Valency of He = 0
Q90
The radius of an atom is approximately 105 times the radius of its nucleus. Assuming both are spherical, approximately how many times greater is the volume of the atom than the volume of the nucleus?
NCERT Exemplar Inspired Olympiad Numerical
View Challenge Solution

Volume of a sphere is proportional to r³.

Vatom / Vnucleus = (105
= 1015

The atom’s volume is approximately one quadrillion times the nuclear volume under this simplified spherical comparison.

Q91
If a model of an atom were scaled up until its radius equalled Earth’s radius, 6.4 × 106 m, estimate the radius of the nucleus using the 105 radius ratio.
Exemplar Scale Problem Numerical
View Challenge Solution
Rnucleus = 6.4×106 / 105
= 6.4×10 = 64 m

On this enormous model scale, the nucleus would have a radius of only about 64 m.

Q92
One mole contains approximately 6.02 × 1023 particles. Suppose 1% of alpha particles in a scattering experiment are deflected by more than a specified angle. How many of one mole would NOT undergo such large deflection?
Exemplar Extension Advanced Numerical
View Challenge Solution

If 1% show large deflection, then:

99% do not.
Number = 0.99×6.02×1023
= 5.9598×1023 ≈ 5.96×1023
Q93
An element has two isotopes A-63 and A-65. Its average atomic mass is 63.6 u. Calculate their percentage abundances.
Olympiad Reverse Isotope Numerical
View Challenge Solution

Let fraction of A-63 = x.

63x + 65(1−x) = 63.6
63x + 65−65x = 63.6
2x = 1.4
x = 0.70

Therefore:

A-63 = 70%
A-65 = 30%
Q94
Three isotopes of an element have masses 24 u, 25 u and 26 u with abundances 79%, 10% and 11% respectively. Calculate the average atomic mass.
Olympiad Weighted Average
View Challenge Solution
Average = 24×0.79 + 25×0.10 + 26×0.11
= 18.96 + 2.50 + 2.86
= 24.32 u
Q95
Atomic species P has 18 protons and 22 neutrons. Species Q has 20 protons and 20 neutrons. Species R has 18 protons and 20 neutrons. Determine the relationship between each possible pair.
Classification Challenge
View Challenge Solution

P:

Z = 18, A = 40

Q:

Z = 20, A = 40

R:

Z = 18, A = 38

P and Q: same A = 40 but different Z → isobars.

P and R: same Z = 18 but different A → isotopes.

Q and R: both Z and A differ → neither isotopes nor isobars.

Q96
An unknown atom has three shells, seven electrons in its outermost shell and mass number 37. Identify the element and calculate protons, electrons and neutrons.
Atomic Detective Numerical
View Challenge Solution

Three shells with seven valence electrons among the first 18 elements gives:

2,8,7
Total electrons = 17

Therefore Z = 17 and the element is chlorine.

Protons = 17
Electrons = 17
Neutrons = 37−17 = 20
Q97
Two neutral atoms have identical electronic configurations but different numbers of neutrons. What can you infer about their atomic numbers, mass numbers, chemical properties and relationship?
HOTS
View Challenge Solution

For neutral atoms, identical electronic configurations mean the same number of electrons, hence the same number of protons and the same atomic number.

Different neutron numbers cause different mass numbers.

Their valence-electron arrangements are identical, so their chemical properties are generally similar.

They are therefore isotopes of the same element.

Q98
A neutral atom X has 12 electrons and 12 neutrons. Another atom Y has the same mass number as X but atomic number 11. Find the complete composition of both and classify their relationship.
Olympiad Numerical
View Challenge Solution

X:

p = e = 12
n = 12
A = 24

Y:

Z = p = e = 11

Same mass number:

A = 24
n = 24−11 = 13

X and Y have the same mass number but different atomic numbers, so they are isobars.

Q99
Olympiad Challenge: An element has two isotopes of masses 10 u and 11 u. Its average atomic mass is 10.8 u. In a sample of 5000 atoms, approximately how many atoms of each isotope are present?
Olympiad Two-Stage Numerical
View Challenge Solution

Let fraction of mass-10 isotope = x.

10x + 11(1−x) = 10.8
10x +11−11x = 10.8
x = 0.2

Therefore:

Mass-10 isotope = 20%
Mass-11 isotope = 80%

In 5000 atoms:

Mass-10 atoms = 0.20×5000 = 1000
Mass-11 atoms = 0.80×5000 = 4000
Q100
Olympiad Final Challenge: Neutral atom X has mass number 40 and contains 22 neutrons. Neutral atom Y has the same mass number but two more protons than X. Determine for both atoms: (a) atomic number, (b) protons, (c) neutrons, (d) electrons, (e) electronic configuration using the first-18-element rules where applicable, (f) relationship between X and Y, (g) usual valency of X and Y.
Olympiad Final Challenge Integrated Numerical
View Challenge Solution

Atom X

ZX = 40−22 = 18

Therefore:

p = 18, e = 18, n = 22

Electronic configuration:

2,8,8

Atomic number 18 is argon.

Valency = 0

Atom Y

Y has two more protons:

ZY = 20

Since A remains 40:

n = 40−20 = 20

For a neutral atom:

e = 20

The detailed shell configuration of atomic number 20 extends beyond the first-18-element table emphasised in this chapter; its identity is calcium.

Calcium commonly has valency 2.


Relationship:

AX = AY = 40

but:

ZX = 18, ZY = 20

Therefore X and Y are isobars.

This question deliberately combines atomic number, mass number, neutrality, electronic stability and isobar reasoning.

Rapid Formula & Concept Revision

Concept Key Relation / Fact
Atomic number Z = number of protons
Neutral atom Number of electrons = number of protons
Mass number A = protons + neutrons
Neutrons n = A − Z
Nucleons Protons + neutrons
Electron Relative charge −1
Proton Relative charge +1
Neutron Relative charge 0
Shell capacity Maximum = 2n²
K-shell Maximum 2 electrons
L-shell Maximum 8 electrons
M-shell Theoretical 2n² capacity = 18 electrons
Outermost shell rule Maximum 8 electrons in the treatment used in the chapter
Valence shell Outermost shell containing electrons
Valence electrons Electrons in valence shell
Valency Number of electrons gained, lost or shared for stable configuration
Octet Eight electrons in outermost shell
Helium stability First shell complete with 2 electrons
Isotopes Same Z, different A
Isobars Same A, different Z
Weighted average atomic mass Σ(isotope mass × fractional abundance)
Atom diameter Approximately 10⁻¹⁰ m
Nucleus diameter Approximately 10⁻¹⁵ m
Diameter ratio Atom : nucleus ≈ 10⁵ : 1

First 18 Elements – Essential Electronic Configurations

Z Element Symbol Electronic Configuration Common Valency
1HydrogenH11
2HeliumHe20
3LithiumLi2,11
4BerylliumBe2,22
5BoronB2,33
6CarbonC2,44
7NitrogenN2,53
8OxygenO2,62
9FluorineF2,71
10NeonNe2,80
11SodiumNa2,8,11
12MagnesiumMg2,8,22
13AluminiumAl2,8,33
14SiliconSi2,8,44
15PhosphorusP2,8,53
16SulfurS2,8,62
17ChlorineCl2,8,71
18ArgonAr2,8,80

High-Yield Exam Rules & Common Traps

  • Atomic number is the proton number. Do not add electrons or neutrons to calculate Z.
  • For a neutral atom, electrons = protons.
  • Mass number counts only protons and neutrons, not electrons.
  • Use n = A − Z whenever mass number and atomic number are given.
  • Two atoms with the same number of protons are atoms of the same element.
  • Changing only the number of neutrons creates a different isotope, not a different element.
  • Isotopes have the same atomic number but different mass numbers.
  • Isobars have the same mass number but different atomic numbers.
  • Do not confuse average atomic mass with the mass number of an individual atom.
  • When isotopes occur in unequal proportions, use a weighted average, not an ordinary arithmetic mean.
  • The K-shell can hold a maximum of two electrons.
  • For the first 18 elements, fill electrons from K to L to M in order.
  • A complete octet usually corresponds to strong stability in the chapter’s model.
  • Helium is stable with only two electrons because its first shell is completely filled.
  • If valence electrons are 1, 2 or 3, the simple rule generally predicts loss of those electrons.
  • If valence electrons are 5, 6 or 7, valency is generally 3, 2 or 1 respectively because that many electrons are needed to reach eight.
  • For four valence electrons, the chapter describes sharing four electrons and assigns valency 4.
  • Most alpha particles passing through gold foil indicates empty space, not absence of a nucleus.
  • A few large alpha-particle deflections indicate a tiny concentrated positive nucleus.
  • Rutherford discovered the nuclear structure but could not explain atomic stability.
  • Bohr introduced stationary energy levels to address the stability problem.
  • Bohr shells are energy levels; electrons do not occupy arbitrary positions between them in the model used at this level.
  • Modern atomic theory no longer treats electrons as tiny particles moving in exact classical circular tracks; the fixed-orbit model is a historical model useful for foundational learning.

Recommended Numerical Strategy

Step 1: Identify whether the given number is Z, A, proton number, neutron number or electron number.

Step 2: For a neutral atom immediately write p = e = Z.

Step 3: Use A = p + n or n = A − Z.

Step 4: Add shell electrons to determine atomic number when an electronic configuration is supplied.

Step 5: Use the outermost occupied shell to identify valence electrons.

Step 6: Determine valency from the number of electrons required to reach a stable duplet/octet configuration.

Step 7: For isotope questions, compare Z first. Same Z means same element.

Step 8: For isobar questions, compare A. Same A but different Z means isobars.

Step 9: For weighted average problems, convert percentages into fractions or decimals before multiplying by isotope masses.

Step 10: Check that isotope percentages add to 100% and that the calculated average lies between the lightest and heaviest isotope masses.

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