CUET UG Physics Booster Test 2-Atomic Structure and Masses
📌 Answers are locked once submitted — results and explanations appear at the end.
QUESTION 1 OF 20
If the mass of a hydrogen atom is mH and the mass of a single electron is me, the mass of a proton can be mathematically approximated as:
QUESTION 2 OF 20
When determining the nature of the neutral radiation emitted from beryllium, Chadwick applied the principles of conservation of energy and momentum, concluding that
QUESTION 3 OF 20
What is the precise energy equivalent of one atomic mass unit (1 u) expressed in MeV?
QUESTION 4 OF 20
Statements about mass spectrometry:
1. Accurate mass spectrometry shows that atomic masses of elements are often not integral multiples of the hydrogen atom's mass.
2. This observation indicates that practically every element consists of a mixture of isotopes with different masses.
3. The observation proves that the mass of a proton changes from element to element.
4. The observation proves that atoms do not contain a central nucleus.
QUESTION 5 OF 20
Nuclides with same Z but different N, Nuclides with same A:
QUESTION 6 OF 20
Match List I (Isotope of Chlorine) with List II (Abundance/Mass values)
| List I | List II |
|---|---|
| 1. Chlorine-35 isotope mass | a. 75.4 % |
| 2. Chlorine-37 isotope mass | b. 24.6 % |
| 3. Chlorine-35 relative abundance | c. 34.98 u |
| 4. Chlorine-37 relative abundance | d. 36.98 u |
QUESTION 7 OF 20
Statements regarding Deuterium:
1. It is a stable isotope of hydrogen containing one proton and one neutron.
2. Its nucleus is known universally as the proton.
3. It is represented by the symbol ²H or D.
4. Its absolute mass is exactly 1.0078 u.
QUESTION 8 OF 20
Incorrect statement about Tritium:
QUESTION 9 OF 20
Statements about the standard for atomic mass:
1. 1 u is exactly 1/12th the mass of a Carbon-12 atom.
2. 1 u equates to 1.660539 × 10⁻²⁷ kg.
3. The mass of a Carbon-12 atom is exactly 12 u.
4. 1 u is the exact mass of one free electron.
QUESTION 10 OF 20
If an atom is completely ionized by removing all its electrons, the net electrical charge of the remaining ion is:
QUESTION 11 OF 20
In any given nuclide denoted by ᴬZX, the total number of neutrons can be determined by
QUESTION 12 OF 20
Consider a gold nucleus denoted by ¹⁹⁷₇₉Au. What is the exact number of nucleons present in this nucleus?
QUESTION 13 OF 20
Statements regarding the historical hypothesis that electrons could reside inside the nucleus:
1. It was confirmed by Chadwick's beryllium experiments.
2. It was ruled out later using strong arguments based on quantum theory.
3. It explains the presence of gamma decay perfectly.
4. It accounts for the difference between atomic mass and mass number.
QUESTION 14 OF 20
Charge of the nucleus, Total charge of atomic electrons:
QUESTION 15 OF 20
Match List I (Variables) with List II (Values for Chlorine Isotopes)
| List I | List II |
|---|---|
| 1. Mass of lighter isotope | a. 24.6 % |
| 2. Mass of heavier isotope | b. 35.47 u |
| 3. Average atomic mass | c. 34.98 u |
| 4. Percentage of heavier isotope | d. 36.98 u |
QUESTION 16 OF 20
Statements regarding weighted average atomic mass calculation:
1. It requires the exact masses of all isotopes present.
2. It requires the relative abundances of all isotopes.
3. It merely takes the simple arithmetic mean of the isotopic masses, ignoring abundance.
4. It works out to be exactly 35.47 u for chlorine.
QUESTION 17 OF 20
Incorrect statement regarding free particles:
QUESTION 18 OF 20
Statements about the decay of a free neutron:
1. It has a mean life of about 1000 s.
2. It decays into a proton.
3. It emits an electron and an antineutrino during decay.
4. It emits a photon and an alpha particle.
QUESTION 19 OF 20
In the standard notation ᴬZX, the number of neutrons is mathematically represented as:
QUESTION 20 OF 20
Since the atoms of isotopes have identical electronic structure, they
Test Complete!
Answer Review
1 If the mass of a hydrogen atom is mH and the mass of a single electron is me, the mass of a proton can be mathematically approximated as:
�� Hydrogen atom contains one proton and one electron. �� Electron mass contributes to atomic mass. �� Proton mass is obtained by subtraction.
A hydrogen atom consists of one proton and one electron. Neglecting binding energy, the mass of the hydrogen atom is approximately equal to the sum of the proton mass and electron mass. mH = mp + me Therefore, mp = mH − me Hence, option A is correct.
- �� Option B → Electron mass must be subtracted, not added.
- �� Option C → Gives a negative value.
- �� Option D → Mass is not determined by division.
Used
- Substitution
Application:
- Apply the mass relationship for a hydrogen atom.
Final Logic:
- Hydrogen atom mass = proton mass + electron mass.
Hydrogen = Proton + Electron
2 When determining the nature of the neutral radiation emitted from beryllium, Chadwick applied the principles of conservation of energy and momentum, concluding that
�� Chadwick analyzed collision data. �� Photon explanation failed. �� Discovery led to the neutron.
Chadwick observed that the neutral radiation emitted from beryllium could not be explained as gamma rays because the required photon energies would be unrealistically high. Applying conservation of energy and momentum, he proposed the existence of a new neutral particle having mass comparable to that of the proton. This particle was later identified as the neutron. Therefore, option B is correct.
- �� Option A → High-energy photons could not explain the observations.
- �� Option C → Electrons were not emitted from the nucleus in this experiment.
- �� Option D → Neutron mass is close to proton mass, not alpha-particle mass.
Used
- Elimination
Application:
- Reject explanations inconsistent with conservation laws.
Final Logic:
- Only the neutron hypothesis explained the experimental results.
Photon Failed → Neutron Found
3 What is the precise energy equivalent of one atomic mass unit (1 u) expressed in MeV?
�� Mass and energy are equivalent. �� Einstein's equation applies. �� 1 u corresponds to 931.5 MeV.
Using Einstein's mass-energy relation: E = mc² The energy equivalent of 1 atomic mass unit is: 1 u = 931.5 MeV This value is widely used in nuclear physics for mass defect and binding energy calculations. Therefore, option A is correct.
- �� Option B → Incorrect magnitude.
- �� Option C → Close to proton mass in u, not energy equivalent.
- �� Option D → Much smaller than the accepted value.
Used
- Definition Recall
Application:
- Recall the standard conversion factor.
Final Logic:
- 1 u always corresponds to 931.5 MeV.
1 u = 931.5 MeV
4 Statements about mass spectrometry:
1. Accurate mass spectrometry shows that atomic masses of elements are often not integral multiples of the hydrogen atom's mass.
2. This observation indicates that practically every element consists of a mixture of isotopes with different masses.
3. The observation proves that the mass of a proton changes from element to element.
4. The observation proves that atoms do not contain a central nucleus.
�� Atomic masses are often fractional. �� Isotopes explain average masses. �� Proton mass remains constant.
Statement 1 is correct because mass spectrometry shows that many atomic masses are not whole-number multiples of hydrogen mass. Statement 2 is correct because most elements occur as mixtures of isotopes having different masses, leading to weighted average atomic masses. Statement 3 is incorrect because proton mass does not vary from one element to another. Statement 4 is incorrect because the existence of a nucleus is well established and unrelated to this observation. Therefore, statements 1 and 2 are correct.
- �� Option B → Includes statement 3, which is incorrect.
- �� Option C → Includes statements 3 and 4, both incorrect.
- �� Option D → Statement 4 is incorrect.
Used
- Elimination
Application:
- Test each statement against isotope theory.
Final Logic:
- Only statements 1 and 2 correctly explain the observation.
Fractional Mass → Isotopes
5 Nuclides with same Z but different N, Nuclides with same A:
�� Isotopes have the same atomic number. �� Isobars have the same mass number. �� Neutron numbers differ in isotopes.
The first term refers to nuclides having the same atomic number (Z) but different neutron numbers (N). Such nuclides are called isotopes. The second term refers to nuclides having the same mass number (A). Such nuclides are called isobars. Therefore, the correct pair is "Isotopes, Isobars". Hence, option A is correct.
- �� Option B → The terms isotopes and isobars are interchanged.
- �� Option C → Isotones have the same number of neutrons, not the same atomic number.
- �� Option D → Isobars are incorrectly replaced by isotones.
Used
- Option Grouping
Application:
- Identify the definition of the first term (same Z, different N) and then the second term (same A).
Final Logic:
- Same Z → Isotopes; Same A → Isobars.
Same A = Isobars
6 Match List I (Isotope of Chlorine) with List II (Abundance/Mass values)
| List I | List II |
|---|---|
| 1. Chlorine-35 isotope mass | a. 75.4 % |
| 2. Chlorine-37 isotope mass | b. 24.6 % |
| 3. Chlorine-35 relative abundance | c. 34.98 u |
| 4. Chlorine-37 relative abundance | d. 36.98 u |
�� Chlorine has two major isotopes. �� ³⁵Cl is more abundant. �� Isotopic masses differ.
1 → c : Chlorine-35 has a mass of 34.98 u. 2 → d : Chlorine-37 has a mass of 36.98 u. 3 → a : Chlorine-35 abundance is 75.4%. 4 → b : Chlorine-37 abundance is 24.6%. Thus, option A is correct.
- �� Option B → Masses and abundances are interchanged.
- �� Option C → Mass values incorrectly matched as abundances.
- �� Option D → Relative abundances are reversed.
Used
- Option Grouping
Application:
- Match isotope masses and abundances separately.
Final Logic:
- 34.98 → 75.4%, 36.98 → 24.6%.
35 → 75%, 37 → 25%
7 Statements regarding Deuterium:
1. It is a stable isotope of hydrogen containing one proton and one neutron.
2. Its nucleus is known universally as the proton.
3. It is represented by the symbol ²H or D.
4. Its absolute mass is exactly 1.0078 u.
�� Deuterium contains one neutron. �� It is stable. �� Symbol is D or ²H.
Statement 1 is correct because deuterium contains one proton and one neutron. Statement 2 is incorrect because the nucleus of deuterium is called a deuteron, not a proton. Statement 3 is correct because deuterium is represented as D or ²H. Statement 4 is incorrect because 1.0078 u corresponds approximately to protium, not deuterium. Therefore, statements 1 and 3 are correct.
- �� Option B → Includes statement 2, which is incorrect.
- �� Option C → Both statements are incorrect.
- �� Option D → Includes statement 4, which is incorrect.
Used
- Elimination
Application:
- Verify each statement using deuterium properties.
Final Logic:
- Only statements 1 and 3 are correct.
D = Deuteron = One Neutron
8 Incorrect statement about Tritium:
�� Isotopes have similar chemical properties. �� Tritium is radioactive. �� Tritium contains two neutrons.
Tritium (³H) contains one proton and two neutrons and is radioactive. Since isotopes possess the same electronic configuration, their chemical properties remain nearly identical. Therefore, the statement that tritium has drastically different chemical properties is incorrect. Hence, option B is correct.
- �� Option A → Correct description of tritium.
- �� Option C → Tritium is unstable and occurs only in trace amounts naturally.
- �� Option D → Tritium is produced artificially.
Used
- Definition Recall
Application:
- Recall that chemical properties depend mainly on electronic configuration.
Final Logic:
- Same electrons produce nearly identical chemistry.
Same Electrons → Same Chemistry
9 Statements about the standard for atomic mass:
1. 1 u is exactly 1/12th the mass of a Carbon-12 atom.
2. 1 u equates to 1.660539 × 10⁻²⁷ kg.
3. The mass of a Carbon-12 atom is exactly 12 u.
4. 1 u is the exact mass of one free electron.
�� Carbon-12 defines the atomic mass scale. �� 1 u is a standard unit. �� Electron mass is much smaller.
Statement 1 is correct because 1 u is defined as one-twelfth of the mass of a carbon-12 atom. Statement 2 is correct because 1 u = 1.660539 × 10⁻²⁷ kg. Statement 3 is correct because carbon-12 is assigned a mass of exactly 12 u. Statement 4 is incorrect because the electron mass is approximately 0.0005486 u. 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 → Omits statement 3, which is correct.
Used
- Elimination
Application:
- Check each statement against the definition of atomic mass unit.
Final Logic:
- Only statements 1, 2 and 3 are correct.
Carbon-12 → Divide by 12
10 If an atom is completely ionized by removing all its electrons, the net electrical charge of the remaining ion is:
�� Electrons carry negative charge. �� Removing all electrons leaves the nucleus. �� Nuclear charge equals +Ze.
A neutral atom contains Z protons and Z electrons. When all electrons are removed, only the positively charged nucleus remains. Total charge = +Ze Therefore, option A is correct.
- �� Option B → Nucleus is positively charged.
- �� Option C → Charge is not neutral after electron removal.
- �� Option D → Incorrect mathematical expression.
Used
- Substitution
Application:
- Charge = Number of protons × elementary charge.
Final Logic:
- Removing all electrons leaves a charge of +Ze.
No Electrons → +Ze
11 In any given nuclide denoted by ᴬZX, the total number of neutrons can be determined by
�� Mass number equals protons plus neutrons. �� Atomic number equals protons. �� Neutrons are obtained by subtraction.
For a nuclide ᴬZX: A = Z + N where A is the mass number, Z is the atomic number and N is the neutron number. Therefore, N = A − Z Hence, option B is correct.
- �� Option A → Multiplication has no relation to neutron count.
- �� Option C → Chemical symbol does not affect neutron number.
- �� Option D → Division does not yield neutron number.
Used
- Substitution
Application:
- Use the relation A = Z + N.
Final Logic:
- Neutrons = Mass Number − Atomic Number.
N = A − Z
12 Consider a gold nucleus denoted by ¹⁹⁷₇₉Au. What is the exact number of nucleons present in this nucleus?
�� Nucleons include protons and neutrons. �� Mass number equals total nucleons. �� Gold has mass number 197.
Nucleons are protons and neutrons present in the nucleus. For ¹⁹⁷₇₉Au: Mass number (A) = 197 The mass number directly represents the total number of nucleons. Therefore, the gold nucleus contains 197 nucleons. Hence, option A is correct.
- �� Option B → 79 is the atomic number (protons only).
- �� Option C → 118 is the neutron number (197 − 79).
- �� Option D → Sum of unrelated quantities.
Used
- Definition Recall
Application:
- Recall that mass number equals total nucleons.
Final Logic:
- Number of nucleons = Mass number = 197.
A = All Nucleons
13 Statements regarding the historical hypothesis that electrons could reside inside the nucleus:
1. It was confirmed by Chadwick's beryllium experiments.
2. It was ruled out later using strong arguments based on quantum theory.
3. It explains the presence of gamma decay perfectly.
4. It accounts for the difference between atomic mass and mass number.
�� Nuclear electrons hypothesis was proposed historically. �� Quantum mechanics disproved it. �� Electrons are extra-nuclear particles.
Statement 1 is incorrect because Chadwick's experiments led to the discovery of the neutron, not confirmation of nuclear electrons. Statement 2 is correct because quantum mechanical arguments showed that confining electrons within the tiny nucleus would require unrealistically high energies. Statement 3 is incorrect because gamma decay is explained by nuclear energy transitions. Statement 4 is incorrect because the difference between atomic mass and mass number is unrelated to the nuclear-electron hypothesis. Therefore, only statement 2 is correct.
- �� Option A → Statement 1 is incorrect.
- �� Option C → Statement 3 is incorrect.
- �� Option D → Statement 4 is incorrect.
Used
- Elimination
Application:
- Evaluate each statement using modern nuclear theory.
Final Logic:
- Only statement 2 is scientifically correct.
Quantum Theory Removed Nuclear Electrons
14 Charge of the nucleus, Total charge of atomic electrons:
�� Protons create nuclear charge. �� Electrons carry negative charge. �� Neutral atoms have balanced charges.
A nucleus contains Z protons. Charge of nucleus = +Ze A neutral atom contains Z electrons. Total electronic charge = −Ze Therefore, option A is correct.
- �� Option B → Charges are reversed.
- �� Option C → Electrons are not positively charged.
- �� Option D → Nucleus is not negatively charged.
Used
- Definition Recall
Application:
- Recall charges of protons and electrons.
Final Logic:
- Nucleus = +Ze and electrons = −Ze.
Protons Plus, Electrons Minus
15 Match List I (Variables) with List II (Values for Chlorine Isotopes)
| List I | List II |
|---|---|
| 1. Mass of lighter isotope | a. 24.6 % |
| 2. Mass of heavier isotope | b. 35.47 u |
| 3. Average atomic mass | c. 34.98 u |
| 4. Percentage of heavier isotope | d. 36.98 u |
�� Chlorine has two major isotopes. �� Average mass is 35.47 u. �� Heavier isotope abundance is 24.6%.
1 → c : Lighter isotope mass = 34.98 u 2 → d : Heavier isotope mass = 36.98 u 3 → b : Average atomic mass = 35.47 u 4 → a : Heavier isotope abundance = 24.6% Therefore, option A is correct.
- �� Option B → Mass values are interchanged.
- �� Option C → Average mass is incorrectly assigned.
- �� Option D → Lighter isotope mass is incorrectly assigned.
Used
- Option Grouping
Application:
- Separate isotope masses, average mass and abundance values.
Final Logic:
- 34.98 u, 36.98 u, 35.47 u and 24.6% match uniquely.
35 → 75%, 37 → 25%
16 Statements regarding weighted average atomic mass calculation:
1. It requires the exact masses of all isotopes present.
2. It requires the relative abundances of all isotopes.
3. It merely takes the simple arithmetic mean of the isotopic masses, ignoring abundance.
4. It works out to be exactly 35.47 u for chlorine.
�� Weighted averages require masses. �� Relative abundances are essential. �� Simple arithmetic mean is incorrect.
Statement 1 is correct because isotopic masses are needed. Statement 2 is correct because relative abundances must be included. Statement 3 is incorrect because weighted average atomic mass cannot be obtained by taking a simple arithmetic mean. Statement 4 is correct because chlorine has an average atomic mass of approximately 35.47 u. Therefore, statements 1, 2 and 4 are correct.
- �� Option B → Includes statement 3, which is incorrect.
- �� Option C → Includes statement 3, which is incorrect.
- �� Option D → Includes statement 3 and excludes statement 2.
Used
- Elimination
Application:
- Check which statements are necessary for weighted average calculations.
Final Logic:
- Masses + abundances are required; simple average is wrong.
Weighted = Mass × Abundance
17 Incorrect statement regarding free particles:
�� Proton is stable. �� Free neutron decays. �� Proton decay is not observed.
A free proton is considered stable. A free neutron is unstable and undergoes beta decay: n → p + e⁻ + ν̅ The statement that a free proton decays into a neutron, electron and antineutrino is incorrect. Therefore, option C is correct.
- �� Option A → Correct statement.
- �� Option B → Correct statement.
- �� Option D → Generally true in the NCERT context; many neutrons are stable within nuclei.
Used
- Elimination
Application:
- Compare known decay processes of neutrons and protons.
Final Logic:
- Neutron decays; proton does not.
Neutron Decays, Proton Stays
18 Statements about the decay of a free neutron:
1. It has a mean life of about 1000 s.
2. It decays into a proton.
3. It emits an electron and an antineutrino during decay.
4. It emits a photon and an alpha particle.
�� Free neutron is unstable. �� Beta decay occurs. �� Mean life is about 1000 s.
Statement 1 is correct because a free neutron has a mean life of approximately 1000 s. Statement 2 is correct because neutron decay produces a proton. Statement 3 is correct because an electron and antineutrino are emitted. Statement 4 is incorrect because neutron decay does not produce an alpha particle. 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 → Omits statement 3, which is correct.
Used
- Elimination
Application:
- Apply the neutron decay equation.
Final Logic:
- n → p + e⁻ + ν̅
Neutron → Proton + Electron + Antineutrino
19 In the standard notation ᴬZX, the number of neutrons is mathematically represented as:
�� Mass number counts nucleons. �� Atomic number counts protons. �� Neutrons are found by subtraction.
For a nuclide: A = Z + N Therefore, N = A − Z Hence, option A is correct.
- �� Option B → Gives a larger unrelated value.
- �� Option C → Produces incorrect sign.
- �� Option D → No physical meaning.
Used
- Substitution
Application:
- Use the relation A = Z + N.
Final Logic:
- Neutrons = Mass Number − Atomic Number.
N = A − Z
20 Since the atoms of isotopes have identical electronic structure, they
�� Chemical properties depend on electrons. �� Isotopes have identical electronic configuration. �� Periodic table position depends on atomic number.
Isotopes have the same atomic number and therefore the same electronic configuration. Since chemical behaviour depends mainly on electronic structure, isotopes show nearly identical chemical properties and occupy the same position in the periodic table. Therefore, option A is correct.
- �� Option B → Physical masses differ and chemical behaviour is similar.
- �� Option C → Valency rules remain the same.
- �� Option D → Radioactive decay depends on nuclear stability, not merely atomic number.
Used
- Definition Recall
Application:
- Relate electronic structure to chemical behaviour.
Final Logic:
- Same electronic configuration gives similar chemistry.
Same Electrons = Same Chemistry
