CUET UG Physics Booster Test 3-Atomic Structure and Masses
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QUESTION 1 OF 20
Incorrect statement about nuclear composition and mass:
QUESTION 2 OF 20
Statements regarding Chadwick's hypothesis of a new neutral particle:
1. Conservation of energy and momentum showed photon radiation could not possess the energy required to knock out protons.
2. Beryllium spontaneously decayed into protons under normal conditions without bombardment.
3. Electrons could not mathematically exist inside the nuclear volume.
4. Alpha-particles fused entirely with beryllium to create an unstable carbon isotope.
QUESTION 3 OF 20
Statements evaluating the utility of the atomic mass unit:
1. It resolves the inconvenience of measuring minuscule atomic masses in kilograms.
2. Elements' atomic masses in (u) are generally close to integral multiples of a hydrogen atom's mass.
3. 1 u = 1.660539 × 10⁻²⁷ kg.
4. The unit relies completely on the mass of a free, isolated proton.
QUESTION 4 OF 20
Statements concerning mass spectrometry applications and findings:
1. It practically proves the existence of isotopes.
2. It accurately measures individual atomic masses.
3. It demonstrates elements are mixtures of atomic species with identical mass but different chemical properties.
4. It shows that practically every element consists of a mixture of several isotopes.
QUESTION 5 OF 20
Match List I with List II.
| List I | List II |
|---|---|
| 1. ⁴⁰₁₈Ar and ⁴⁰₂₀Ca | a. Isobars |
| 2. ¹⁴₆C and ¹⁵₇N | b. Isotones |
| 3. ¹H and ²H | c. Isotopes |
| 4. ¹H and ³H | d. Isotopes |
QUESTION 6 OF 20
Given a hypothetical element X with exactly two isotopes of masses 10 u and 11 u, if the weighted average mass is 10.8 u, what is the fractional abundance (where 1 = 100%) of the 11 u isotope?
QUESTION 7 OF 20
Constituents of the Deuterium nucleus, Constituents of the Tritium nucleus:
QUESTION 8 OF 20
If mp is proton mass and mn is neutron mass, the expected mass of an unbound tritium nucleus configuration (before accounting for any mass defect) is:
QUESTION 9 OF 20
The mass of a carbon-12 atom is used as the universal standard for atomic masses primarily because
QUESTION 10 OF 20
If an alpha particle is simply a helium nucleus (⁴₂He), its charge in terms of the fundamental charge is:
QUESTION 11 OF 20
The mass number of a heavy nucleus is 235 and its atomic number is 92. How many neutrons does it possess?
QUESTION 12 OF 20
Incorrect statement about nucleons and their behavior:
QUESTION 13 OF 20
Statements regarding the concept of a tiny dense nucleus surrounded by electrons:
1. The volume of a nucleus is about 10⁻¹² times the volume of the atom, making the atom mostly empty space.
2. Electrons are scattered evenly throughout the nuclear volume in light atoms.
3. Nuclear mass is less than 0.1% of the total atomic mass due to heavy outer electrons.
4. The atomic radius is smaller than the nuclear radius by a massive factor of 10⁴.
QUESTION 14 OF 20
Match List I with List II regarding charges in a neutral atom.
| List I | List II |
|---|---|
| 1. Nucleus total charge | a. Zero |
| 2. Total electron charge | b. Zero |
| 3. Atom net overall charge | c. +Ze |
| 4. Single neutron charge | d. −Ze |
QUESTION 15 OF 20
Statements relating to chlorine isotopes:
1. The atomic mass of the lighter isotope is 34.98 u.
2. The lighter isotope contributes roughly 75.4% to the weighted average mass.
3. Both the 34.98 u and 36.98 u isotopes behave identically in chemical reactions.
4. The heavier isotope has a precise mass of 36.98 u.
QUESTION 16 OF 20
If m₁ and m₂ are masses of two distinct isotopes with percentage abundances x and y (where x + y = 100), the average atomic mass is calculated by:
QUESTION 17 OF 20
Statements comparing nucleons in free states:
1. A free proton is a fundamentally stable particle.
2. A free neutron is fundamentally unstable outside a nucleus.
3. A free neutron decays with a mean life of about 1000 s.
4. A free proton decays rapidly into an electron and an antineutrino.
QUESTION 18 OF 20
State of a free neutron, State of a free proton:
QUESTION 19 OF 20
In the symbolic representation of nuclides, the symbol X represents the chemical species, whereas
QUESTION 20 OF 20
Consider the nuclide ²³⁵₉₂U. If this specific nucleus undergoes alpha decay (emitting a single alpha particle nucleus), what will be the new atomic number Z of the resulting nuclide fragment?
Test Complete!
Answer Review
1 Incorrect statement about nuclear composition and mass:
�� Proton is the nucleus of protium. �� Proton carries +e charge. �� Proton mass equals hydrogen mass minus electron mass.
Statement B is incorrect because a hydrogen atom contains both a proton and an electron. mH = mp + me Therefore, mp = mH − me Statements A, C and D are correct descriptions of nuclear composition and mass. Hence, option B is correct.
- �� Option A → Correct statement about the proton.
- �� Option C → Correct statement; proton carries +1 elementary charge.
- �� Option D → Correct statement; nucleons contribute almost all atomic mass.
Used
- Elimination
Application:
- Identify the statement inconsistent with proton mass relations.
Final Logic:
- Proton mass is obtained by subtracting electron mass from hydrogen atom mass.
Hydrogen = Proton + Electron
2 Statements regarding Chadwick's hypothesis of a new neutral particle:
1. Conservation of energy and momentum showed photon radiation could not possess the energy required to knock out protons.
2. Beryllium spontaneously decayed into protons under normal conditions without bombardment.
3. Electrons could not mathematically exist inside the nuclear volume.
4. Alpha-particles fused entirely with beryllium to create an unstable carbon isotope.
�� Chadwick analyzed collision data. �� Gamma-ray explanation failed. �� Discovery led to the neutron.
Statement 1 is correct because conservation laws showed that if the radiation were photons, unrealistically high energies would be required to explain the observed proton ejection. Statement 2 is incorrect because beryllium does not spontaneously emit protons under normal conditions. Statement 3 is unrelated to Chadwick's primary reasoning. Statement 4 does not explain why the neutron hypothesis was proposed. Therefore, only statement 1 is correct.
- �� Option B → Statement 2 is incorrect.
- �� Option C → Statement 3 is not the basis of Chadwick's conclusion.
- �� Option D → Statement 4 is incorrect in this context.
Used
- Elimination
Application:
- Check which statement directly explains Chadwick's reasoning.
Final Logic:
- Only statement 1 justifies the neutron hypothesis.
Photon Failed → Neutron Found
3 Statements evaluating the utility of the atomic mass unit:
1. It resolves the inconvenience of measuring minuscule atomic masses in kilograms.
2. Elements' atomic masses in (u) are generally close to integral multiples of a hydrogen atom's mass.
3. 1 u = 1.660539 × 10⁻²⁷ kg.
4. The unit relies completely on the mass of a free, isolated proton.
�� Kilogram is inconvenient at atomic scale. �� Atomic masses are expressed in u. �� Carbon-12 defines the unit.
Statement 1 is correct because atomic masses are extremely small when expressed in kilograms. Statement 2 is correct because many atomic masses are close to integral multiples of hydrogen mass. Statement 3 is correct because 1 u = 1.660539 × 10⁻²⁷ kg. Statement 4 is incorrect because the atomic mass unit is based on carbon-12, not a free proton. Therefore, statements 1, 2 and 3 are correct.
- �� Option B → Includes statement 4, which is incorrect.
- �� Option C → Includes statement 4, which is incorrect.
- �� Option D → Includes statement 4, which is incorrect.
Used
- Elimination
Application:
- Compare each statement with the definition of atomic mass unit.
Final Logic:
- 1 u is based on carbon-12, not a proton.
u → Carbon-12 Standard
4 Statements concerning mass spectrometry applications and findings:
1. It practically proves the existence of isotopes.
2. It accurately measures individual atomic masses.
3. It demonstrates elements are mixtures of atomic species with identical mass but different chemical properties.
4. It shows that practically every element consists of a mixture of several isotopes.
�� Mass spectrometry measures atomic masses. �� It identifies isotopes. �� Most elements occur as isotopic mixtures.
Statement 1 is correct because mass spectrometry provides evidence for isotopes. Statement 2 is correct because it accurately measures atomic masses. Statement 3 is incorrect because isotopes have similar chemical properties but different masses, not identical masses with different chemical properties. Statement 4 is correct because most elements occur as mixtures of isotopes. Therefore, statements 1, 2 and 4 are correct.
- �� Option B → Includes statement 3, which is incorrect.
- �� Option C → Omits statement 1, which is correct.
- �� Option D → Includes statement 3, which is incorrect.
Used
- Elimination
Application:
- Evaluate each statement using isotope concepts.
Final Logic:
- Only statements 1, 2 and 4 are correct.
Mass Spectrometer → Isotopes
5 Match List I with List II.
| List I | List II |
|---|---|
| 1. ⁴⁰₁₈Ar and ⁴⁰₂₀Ca | a. Isobars |
| 2. ¹⁴₆C and ¹⁵₇N | b. Isotones |
| 3. ¹H and ²H | c. Isotopes |
| 4. ¹H and ³H | d. Isotopes |
�� Isobars have the same mass number. �� Isotones have the same neutron number. �� Isotopes have the same atomic number.
1 → a : ⁴⁰₁₈Ar and ⁴⁰₂₀Ca have the same mass number (A = 40) but different atomic numbers, so they are isobars. 2 → b : ¹⁴₆C and ¹⁵₇N both contain 8 neutrons, so they are isotones. 3 → c : ¹H and ²H have the same atomic number (Z = 1) but different mass numbers, so they are isotopes. 4 → d : ¹H and ³H also have the same atomic number (Z = 1) but different mass numbers, so they are isotopes. Thus, option A is correct.
- �� Option B → Isobars and isotones are incorrectly interchanged.
- �� Option C → ¹⁴₆C and ¹⁵₇N are isotones, not isotopes.
- �� Option D → Multiple incorrect pairings of nuclear species.
Used
- Option Grouping
Application:
- Match each nuclide pair using the definitions of isotopes, isobars and isotones.
Final Logic:
- Same A → Isobars; Same N → Isotones; Same Z → Isotopes.
A-Bar, N-Tone, Z-Tope
6 Given a hypothetical element X with exactly two isotopes of masses 10 u and 11 u, if the weighted average mass is 10.8 u, what is the fractional abundance (where 1 = 100%) of the 11 u isotope?
�� Use weighted average formula. �� Let abundance of 11 u isotope be x. �� Solve linear equation.
Let abundance of the 11 u isotope = x. Then abundance of the 10 u isotope = (1 − x). 10(1 − x) + 11x = 10.8 10 + x = 10.8 x = 0.8 Therefore, the fractional abundance of the 11 u isotope is 0.8. Hence, option A is correct.
- �� Option B → Gives average mass 10.2 u.
- �� Option C → Gives average mass 10.5 u.
- �� Option D → Gives average mass 10.1 u.
Used
- Substitution
Application:
- Apply weighted average mass formula.
Final Logic:
- 10(1−x) + 11x = 10.8 gives x = 0.8.
Average Near 11 → High 11 Abundance
7 Constituents of the Deuterium nucleus, Constituents of the Tritium nucleus:
�� Deuterium contains one neutron. �� Tritium contains two neutrons. �� Both contain one proton.
Deuterium (²H) contains: 1 proton + 1 neutron Tritium (³H) contains: 1 proton + 2 neutrons Therefore, option A is correct.
- �� Option B → Represents protium and deuterium.
- �� Option C → Incorrect proton counts.
- �� Option D → Deuterium and tritium are interchanged.
Used
- Definition Recall
Application:
- Recall the composition of hydrogen isotopes.
Final Logic:
- ²H → 1p + 1n; ³H → 1p + 2n.
D = One N, T = Two N
8 If mp is proton mass and mn is neutron mass, the expected mass of an unbound tritium nucleus configuration (before accounting for any mass defect) is:
�� Tritium contains one proton. �� Tritium contains two neutrons. �� Mass defect ignored.
A tritium nucleus contains: 1 proton + 2 neutrons Ignoring mass defect, Mass = mp + 2mn Therefore, option C is correct.
- �� Option A → Represents deuterium.
- �� Option B → Represents helium-3 composition.
- �� Option D → Tritium does not contain three protons.
Used
- Substitution
Application:
- Insert proton and neutron counts into the mass expression.
Final Logic:
- Tritium = 1p + 2n.
Tritium = Triple Mass Hydrogen
9 The mass of a carbon-12 atom is used as the universal standard for atomic masses primarily because
�� Carbon-12 defines the atomic mass scale. �� 1 u is based on carbon-12. �� Provides a convenient reference standard.
Carbon-12 was chosen as the reference standard because: 1 u = (1/12) × mass of a carbon-12 atom This creates a convenient mass scale for atomic and isotopic masses. Therefore, option B is correct.
- �� Option A → Carbon-12 was not discovered by Chadwick.
- �� Option C → Antineutrinos are not constituents of carbon nuclei.
- �� Option D → Iron-group nuclei have higher binding energies.
Used
- Elimination
Application:
- Identify the scientific basis of the carbon-12 standard.
Final Logic:
- Carbon-12 provides a convenient and universal mass scale.
Carbon-12 ÷ 12 = 1 u
10 If an alpha particle is simply a helium nucleus (⁴₂He), its charge in terms of the fundamental charge is:
�� Alpha particle is a helium nucleus. �� Helium has atomic number 2. �� Nuclear charge equals +Ze.
For a helium nucleus: Z = 2 Nuclear charge = +Ze = +2e Therefore, an alpha particle carries a charge of +2e. Hence, option A is correct.
- �� Option B → Corresponds to one proton only.
- �� Option C → Charge depends on proton count, not mass number.
- �� Option D → Alpha particle is positively charged.
Used
- Substitution
Application:
- Use Charge = +Ze with Z = 2.
Final Logic:
- Helium nucleus contains two protons, giving charge +2e.
Alpha = Helium = +2e
11 The mass number of a heavy nucleus is 235 and its atomic number is 92. How many neutrons does it possess?
�� Mass number = Protons + Neutrons. �� Atomic number = Protons. �� Neutrons = A − Z.
For a nucleus: A = Z + N Therefore, N = A − Z = 235 − 92 = 143 Hence, the nucleus contains 143 neutrons. Therefore, option B is correct.
- �� Option A → Represents the atomic number (protons).
- �� Option C → Represents the mass number.
- �� Option D → Obtained by adding A and Z, which is incorrect.
Used
- Substitution
Application:
- Apply N = A − Z directly.
Final Logic:
- 235 − 92 = 143.
Neutrons = Mass − Protons
12 Incorrect statement about nucleons and their behavior:
�� Nucleons are protons and neutrons. �� Mass number equals nucleon count. �� Chemical properties depend on electrons.
Chemical properties are determined primarily by the electronic configuration of an atom, which depends on atomic number and electron arrangement. Statements A, B and C are correct because: • Mass number equals total nucleons. • Nucleons are protons and neutrons. • Nucleons form the nucleus. Statement D is incorrect because nucleon count does not directly determine chemical properties. Therefore, option D is correct.
- �� Option A → Correct statement.
- �� Option B → Correct definition of nucleons.
- �� Option C → Correct statement regarding nuclear composition.
Used
- Elimination
Application:
- Identify which statement contradicts atomic structure principles.
Final Logic:
- Chemistry depends on electrons, not nucleon count.
Chemistry → Electrons, Not Nucleons
13 Statements regarding the concept of a tiny dense nucleus surrounded by electrons:
1. The volume of a nucleus is about 10⁻¹² times the volume of the atom, making the atom mostly empty space.
2. Electrons are scattered evenly throughout the nuclear volume in light atoms.
3. Nuclear mass is less than 0.1% of the total atomic mass due to heavy outer electrons.
4. The atomic radius is smaller than the nuclear radius by a massive factor of 10⁴.
�� Nucleus occupies extremely small volume. �� Most atomic volume is empty space. �� Electrons exist outside the nucleus.
Statement 1 is correct because the nuclear volume is approximately 10⁻¹² times the atomic volume, implying that atoms are largely empty space. Statement 2 is incorrect because electrons are outside the nucleus. Statement 3 is incorrect because almost all atomic mass resides in the nucleus. Statement 4 is incorrect because the atomic radius is much larger than the nuclear radius. Therefore, only statement 1 is correct.
- �� Option B → Statement 2 is incorrect.
- �� Option C → Statement 3 is incorrect.
- �� Option D → Statement 4 is incorrect.
Used
- Elimination
Application:
- Compare each statement with the nuclear model of the atom.
Final Logic:
- Only statement 1 correctly describes atomic structure.
Atom = Mostly Empty Space
14 Match List I with List II regarding charges in a neutral atom.
| List I | List II |
|---|---|
| 1. Nucleus total charge | a. Zero |
| 2. Total electron charge | b. Zero |
| 3. Atom net overall charge | c. +Ze |
| 4. Single neutron charge | d. −Ze |
�� Nucleus is positively charged. �� Electrons contribute negative charge. �� Neutron is neutral.
1 → c : Nucleus carries charge +Ze. 2 → d : Total electronic charge is −Ze. 3 → a : Neutral atom has net charge zero. 4 → b : Neutron has zero charge. Thus, option A is correct.
- �� Option B → Nucleus and electron charges are interchanged.
- �� Option C → Matching is incomplete and incorrect.
- �� Option D → Multiple mismatches.
Used
- Option Grouping
Application:
- Match each particle/system with its electrical charge.
Final Logic:
- +Ze, −Ze, 0, 0 is the correct sequence.
Nucleus Plus, Electrons Minus, Neutron Zero
15 Statements relating to chlorine isotopes:
1. The atomic mass of the lighter isotope is 34.98 u.
2. The lighter isotope contributes roughly 75.4% to the weighted average mass.
3. Both the 34.98 u and 36.98 u isotopes behave identically in chemical reactions.
4. The heavier isotope has a precise mass of 36.98 u.
�� Chlorine has two major isotopes. �� Lighter isotope is more abundant. �� Isotopes have similar chemical properties.
Statement 1 is correct because the lighter chlorine isotope has a mass of 34.98 u. Statement 2 is correct because its abundance is about 75.4%. Statement 3 is correct because isotopes have identical electronic configurations and hence nearly identical chemical behavior. Statement 4 is correct because the heavier isotope has a mass of 36.98 u. Therefore, all four statements are correct.
- �� Option B → Omits statement 3, which is correct.
- �� Option C → Omits statement 1, which is correct.
- �� Option D → Omits statement 2, which is correct.
Used
- Elimination
Application:
- Verify each statement using chlorine isotope data.
Final Logic:
- All four statements are correct.
35 → 75%, 37 → 25%
16 If m₁ and m₂ are masses of two distinct isotopes with percentage abundances x and y (where x + y = 100), the average atomic mass is calculated by:
�� Average atomic mass is weighted. �� Abundance must be considered. �� Simple mean is generally incorrect.
Average atomic mass is calculated by multiplying each isotopic mass by its percentage abundance and dividing by 100: Average Atomic Mass = (m₁x + m₂y)/100 Therefore, option D is correct.
- �� Option A → Not the weighted average formula.
- �� Option B → Ignores isotopic abundances.
- �� Option C → Incorrect mathematical expression.
Used
- Definition Recall
Application:
- Recall the weighted-average formula.
Final Logic:
- Mass × Abundance is the key principle.
Weighted = Mass × Percent
17 Statements comparing nucleons in free states:
1. A free proton is a fundamentally stable particle.
2. A free neutron is fundamentally unstable outside a nucleus.
3. A free neutron decays with a mean life of about 1000 s.
4. A free proton decays rapidly into an electron and an antineutrino.
�� Proton is stable. �� Free neutron is unstable. �� Mean life is approximately 1000 s.
Statement 1 is correct because the free proton is stable. Statement 2 is correct because the free neutron is unstable. Statement 3 is correct because its mean life is approximately 1000 s. Statement 4 is incorrect because a free proton does not decay rapidly into an electron and an antineutrino. Therefore, statements 1, 2 and 3 are correct.
- �� Option B → Includes statement 4, which is incorrect.
- �� Option C → Includes statement 4, which is incorrect.
- �� Option D → Includes statement 4 and omits statements 2 and 3.
Used
- Elimination
Application:
- Compare known stability properties of free nucleons.
Final Logic:
- Only statements 1, 2 and 3 are correct.
Proton Stable, Neutron Unstable
18 State of a free neutron, State of a free proton:
�� Free neutron undergoes decay. �� Free proton is stable. �� Neutron lifetime is finite.
A free neutron decays into a proton, electron and antineutrino and is therefore unstable. A free proton is considered stable. Hence, the correct combination is "Unstable, Stable". Therefore, option A is correct.
- �� Option B → Stability states are reversed.
- �� Option C → Free neutron is not stable.
- �� Option D → Free proton is stable.
Used
- Definition Recall
Application:
- Recall stability of free nucleons.
Final Logic:
- Neutron decays, proton survives.
Neutron Falls, Proton Persists
19 In the symbolic representation of nuclides, the symbol X represents the chemical species, whereas
�� X is the chemical symbol. �� Z is the atomic number. �� Atomic number determines periodic position.
In nuclide notation ᴬZX: • X = chemical symbol • Z = atomic number • A = mass number Atomic number determines the electronic configuration and periodic table position. Therefore, option B is correct.
- �� Option A → A represents mass number, not electron count.
- �� Option C → Elements may have multiple isotopes.
- �� Option D → Binding energy is not determined directly by mass number alone.
Used
- Definition Recall
Application:
- Use the standard nuclide notation.
Final Logic:
- Z determines identity and periodic-table position.
Z = Atomic Number = Position
20 Consider the nuclide ²³⁵₉₂U. If this specific nucleus undergoes alpha decay (emitting a single alpha particle nucleus), what will be the new atomic number Z of the resulting nuclide fragment?
�� Alpha particle is ⁴₂He. �� Alpha decay reduces Z by 2. �� Alpha decay reduces A by 4.
During alpha decay: ²³⁵₉₂U → ⁴₂He + Daughter Nucleus Atomic number changes as: Z = 92 − 2 = 90 Therefore, the daughter nucleus has atomic number 90. Hence, option A is correct.
- �� Option B → Would require gain of two protons.
- �� Option C → Represents neither atomic number nor daughter nucleus charge.
- �� Option D → Reduction by four is incorrect.
Used
- Substitution
Application:
- Apply alpha decay rule: Z decreases by 2.
Final Logic:
- 92 − 2 = 90.
Alpha = Minus 2 Protons
