CUET UG Physics Booster Test 3-Early Atomic Theory
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QUESTION 1 OF 20
The revelation that atoms of different elements contain identical negatively charged constituents implies that
QUESTION 2 OF 20
Incorrect statement concerning atomic neutrality in the context of early atomic hypothesis:
QUESTION 3 OF 20
Statements analyzing the uniform positive distribution:
1. It successfully explained the overall electrical neutrality of the atom.
2. It accurately predicted large-angle scattering for incident high-speed particles.
3. It assumed mass is continuously spread throughout the atomic volume.
4. It was later refuted by Geiger and Marsden's experimental data.
QUESTION 4 OF 20
Match List I with List II detailing model analogies and features
| List I | List II |
|---|---|
| 1. Watermelon seeds | a. Continuous positive charge |
| 2. Watermelon pulp | b. Atomic vacuum in Rutherford model |
| 3. Planets around sun | c. Embedded electrons |
| 4. Solar system empty space | d. Orbiting electrons |
QUESTION 5 OF 20
Scattering discrepancy statements:
1. Uniform mass models could not provide the immense electrostatic force required for large deflections.
2. Alpha particles only rebound when encountering a concentrated massive positive core.
3. Electrons significantly alter the path of incoming alpha particles due to their negative charge.
4. Only about 1 in 8000 particles deflect by more than 90°.
QUESTION 6 OF 20
The expected deflection in Thomson's uniform model vs. the actual observed large-angle scattering in Rutherford's experiment can be described respectively as:
QUESTION 7 OF 20
Which of the following is correct regarding the nature of continuous wavelengths in condensed matter?
QUESTION 8 OF 20
Incorrect statement about radiation from dense gases:
QUESTION 9 OF 20
The emission of discrete wavelengths from a rarefied gas provides strong evidence that
QUESTION 10 OF 20
Statements about gas excitation in glow tubes:
1. Neon signs operate by electrically exciting atoms in a rarefied state.
2. The spectrum appears as a series of bright discrete lines.
3. The spacing between atoms is small enough to merge their spectral lines continuously.
4. The radiation is considered due to individual atoms.
QUESTION 11 OF 20
Statements about absorption and emission spectra:
1. Absorption spectra contain dark lines on a continuous background.
2. Dark lines correspond precisely to wavelengths found in emission spectra.
3. White light must pass through a gas to observe absorption lines.
4. Absorption spectra actively emit high-intensity bright lines.
QUESTION 12 OF 20
If a hypothetical atomic system consists of a nucleus with y protons and an electron shell containing x electrons, what expression represents the net negative charge excess of the system?
QUESTION 13 OF 20
Which of the following is correct regarding the linkage between atomic structure and spectra?
QUESTION 14 OF 20
Match List I with List II regarding energy states and classical predictions
| List I | List II |
|---|---|
| 1. Accelerated classical electron | a. Stationary state |
| 2. Bohr's non-radiating orbit | b. Emits a discrete photon |
| 3. Electron transition to lower state | c. Spirals into nucleus |
| 4. Rarefied gas emission | d. Discrete characteristic spectrum |
QUESTION 15 OF 20
While Balmer formulated his empirical equation in 1885, its deeper physical significance presented a challenge because
QUESTION 16 OF 20
Hydrogen's atomic composition and the nature of its resulting emission spectrum are respectively characterized as:
QUESTION 17 OF 20
In the Geiger-Marsden experiment, what is the maximum upper limit calculated for the radius of a gold nucleus (Z=79) based on the distance of closest approach for a 7.7 MeV alpha-particle?
QUESTION 18 OF 20
Incorrect statement regarding Rutherford's assumptions during the scattering experiment analysis:
QUESTION 19 OF 20
Which of the following is correct regarding the theoretical conclusions drawn from the discovery of the nucleus?
QUESTION 20 OF 20
Statements about the broader implications of Rutherford's early work:
1. He discovered an isotope of radon called thoron.
2. He estimated the approximate size of the nucleus to be much smaller than the atom.
3. He proposed that noble gases cannot be ionized.
4. He created the modern theory of radioactivity alongside Soddy.
Test Complete!
Answer Review
1 The revelation that atoms of different elements contain identical negatively charged constituents implies that
�� Electrons are present in all atoms. �� Atoms contain subatomic particles. �� Atoms are not indivisible.
Thomson's discovery showed that electrons are identical constituents present in atoms of all elements. This proved that atoms are divisible and possess a common internal structure composed of subatomic particles. Therefore, option C is correct.
- �� Option A → Incorrect because atomic mass is not determined solely by electrons.
- �� Option B → Incorrect because Thomson's experiment did not establish a universal positive charge structure responsible for differing masses.
- �� Option D → Incorrect because different elements have characteristic spectra.
Used
- Contextual/Tonal Matching
Application:
- Identify the fundamental implication of electron discovery.
Final Logic:
- Common electrons imply a common subatomic structure.
Electron Everywhere → Atom Divisible
2 Incorrect statement concerning atomic neutrality in the context of early atomic hypothesis:
�� Neutrality depends on charge balance. �� Radiation emission does not determine neutrality. �� Positive charge balances electron charge.
Electrical neutrality depends on equal positive and negative charges within the atom. The emission of radiation does not alter the overall charge balance of an atom. Therefore, the statement that radiation disrupts electrical neutrality is incorrect. Hence, option B is correct.
- �� Option A → Correct statement about charge neutrality.
- �� Option C → Correct because balancing positive charge is necessary.
- �� Option D → Correct because positive charge neutralizes electrons.
Used
- Odd One Out
Application:
- Identify the statement unrelated to electrical neutrality.
Final Logic:
- Neutrality depends on charge balance, not radiation emission.
Neutrality = Charge Balance
3 Statements analyzing the uniform positive distribution:
1. It successfully explained the overall electrical neutrality of the atom.
2. It accurately predicted large-angle scattering for incident high-speed particles.
3. It assumed mass is continuously spread throughout the atomic volume.
4. It was later refuted by Geiger and Marsden's experimental data.
�� Thomson explained neutrality. �� Mass and charge were assumed continuous. �� Scattering results disproved the model.
Statement 1 is correct because Thomson's model explained electrical neutrality. Statement 2 is incorrect because it could not explain large-angle scattering. Statement 3 is correct because positive charge and mass were assumed to be spread throughout the atom. Statement 4 is correct because Geiger-Marsden results contradicted the model. Therefore, statements 1, 3 and 4 are correct.
- �� Option B → Includes statement 2, which is incorrect.
- �� Option C → Includes statement 2, which is incorrect.
- �� Option D → Includes statement 2, which is incorrect.
Used
- Elimination
Application:
- Compare Thomson's predictions with Rutherford scattering results.
Final Logic:
- Only statements 1, 3 and 4 are valid.
Neutrality Yes, Scattering No
4 Match List I with List II detailing model analogies and features
| List I | List II |
|---|---|
| 1. Watermelon seeds | a. Continuous positive charge |
| 2. Watermelon pulp | b. Atomic vacuum in Rutherford model |
| 3. Planets around sun | c. Embedded electrons |
| 4. Solar system empty space | d. Orbiting electrons |
�� Seeds represent electrons. �� Pulp represents positive charge. �� Planets represent orbiting electrons.
1 → c : Watermelon seeds represent embedded electrons. 2 → a : Watermelon pulp represents uniformly distributed positive charge. 3 → d : Planets around the sun represent orbiting electrons. 4 → b : Empty solar system space corresponds to atomic empty space. Thus, option A is correct.
- �� Option B → Incorrect matching of seeds and pulp.
- �� Option C → Incorrect matching of pulp and planets.
- �� Option D → Incorrect matching of empty space and seeds.
Used
- Option Grouping
Application:
- Match each analogy with its corresponding atomic feature.
Final Logic:
- Only option A correctly matches all four pairs.
Seeds-Electrons, Pulp-Positive
5 Scattering discrepancy statements:
1. Uniform mass models could not provide the immense electrostatic force required for large deflections.
2. Alpha particles only rebound when encountering a concentrated massive positive core.
3. Electrons significantly alter the path of incoming alpha particles due to their negative charge.
4. Only about 1 in 8000 particles deflect by more than 90°.
�� Large deflections require concentrated charge. �� Electrons have negligible effect. �� Very few particles scatter backward.
Statement 1 is correct because a uniformly distributed charge cannot generate sufficient repulsive force for large deflections. Statement 2 is correct because large-angle scattering occurs near a concentrated positive nucleus. Statement 3 is incorrect because electrons are too light to significantly affect alpha particles. Statement 4 is correct because only a tiny fraction of particles were scattered through angles greater than 90°. 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, which is incorrect.
Used
- Elimination
Application:
- Evaluate each statement using Rutherford scattering observations.
Final Logic:
- Only statements 1, 2 and 4 are supported experimentally.
Few Backscatter, Big Nucleus
6 The expected deflection in Thomson's uniform model vs. the actual observed large-angle scattering in Rutherford's experiment can be described respectively as:
�� Thomson predicted small deflections. �� Rutherford observed large deflections. �� Results disproved Thomson's model.
If positive charge were spread uniformly, alpha particles would experience only small cumulative deflections. Experimentally, however, some alpha particles underwent very large-angle scattering, indicating a concentrated nucleus. Therefore, option A is correct.
- �� Option B → Reverses the observed situation.
- �� Option C → Opposite of experimental findings.
- �� Option D → Does not compare deflection magnitude.
Used
- Contextual/Tonal Matching
Application:
- Compare theoretical prediction with observation.
Final Logic:
- Predicted minor deflection, observed major deflection.
Thomson Small, Rutherford Large
7 Which of the following is correct regarding the nature of continuous wavelengths in condensed matter?
�� Condensed matter contains strong interactions. �� Neighboring particles affect emission. �� Continuous spectra result.
In solids and liquids, atoms and molecules strongly interact with neighboring particles. These interactions broaden energy states and produce continuous wavelength distributions rather than isolated spectral lines. Hence, option C is correct.
- �� Option A → Incorrect because isolated atoms produce line spectra.
- �� Option B → Incorrect because elemental analysis can still be performed using suitable techniques.
- �� Option D → Incorrect because alpha-particle bombardment is unrelated.
Used
- Contextual/Tonal Matching
Application:
- Identify the physical origin of continuous spectra.
Final Logic:
- Neighbor interactions create continuous emission.
Neighbours → Continuum
8 Incorrect statement about radiation from dense gases:
�� Dense gases show strong interactions. �� Rarefied gases behave as isolated atoms. �� Their spectra differ.
Dense gases exhibit significant interatomic interactions that alter emission characteristics and often produce continuous spectra. Rarefied gases, however, emit characteristic line spectra due to isolated atomic behavior. Therefore, option B is correct.
- �� Option A → Correct description of dense-gas spectra.
- �� Option C → Correct because interactions affect radiation.
- �� Option D → Correct because neighbor interactions influence emission.
Used
- Odd One Out
Application:
- Identify the statement inconsistent with dense-gas behavior.
Final Logic:
- Dense gases and rarefied gases do not emit identically.
Dense ≠ Rarefied
9 The emission of discrete wavelengths from a rarefied gas provides strong evidence that
�� Discrete wavelengths indicate restrictions. �� Atomic energy states are specific. �� Spectra reveal internal structure.
The presence of discrete spectral lines means atoms can emit only specific amounts of energy. This strongly suggests the existence of restricted internal energy states and quantized atomic structure. Hence, option B is correct.
- �� Option A → Incorrect because classical theory failed to explain line spectra.
- �� Option C → Incorrect because spectral lines are not random.
- �� Option D → Incorrect because spectral evidence does not imply uniform mass distribution.
Used
- Contextual/Tonal Matching
Application:
- Connect discrete spectra with atomic structure.
Final Logic:
- Specific wavelengths imply specific energy states.
Discrete Lines → Discrete Levels
10 Statements about gas excitation in glow tubes:
1. Neon signs operate by electrically exciting atoms in a rarefied state.
2. The spectrum appears as a series of bright discrete lines.
3. The spacing between atoms is small enough to merge their spectral lines continuously.
4. The radiation is considered due to individual atoms.
�� Neon signs contain rarefied gases. �� Line spectra are produced. �� Emission comes from individual atoms.
Statement 1 is correct because neon signs operate through electrical excitation of low-pressure gas. Statement 2 is correct because rarefied gases emit bright discrete spectral lines. Statement 3 is incorrect because atoms are widely separated, not closely packed. Statement 4 is correct because the emission is attributed to individual atoms. Therefore, statements 1, 2 and 4 are correct.
- �� Option A → Includes statement 3, which is incorrect.
- �� Option C → Includes statement 3, which is incorrect.
- �� Option D → Includes statement 3, which is incorrect.
Used
- Elimination
Application:
- Check each statement against the properties of rarefied gases.
Final Logic:
- Only statements 1, 2 and 4 are correct.
Neon → Rarefied → Lines
11 Statements about absorption and emission spectra:
1. Absorption spectra contain dark lines on a continuous background.
2. Dark lines correspond precisely to wavelengths found in emission spectra.
3. White light must pass through a gas to observe absorption lines.
4. Absorption spectra actively emit high-intensity bright lines.
�� Absorption spectra show dark lines. �� Dark lines match emission wavelengths. �� A continuous source is required.
Statement 1 is correct because absorption spectra appear as dark lines superimposed on a continuous spectrum. Statement 2 is correct because atoms absorb the same wavelengths that they emit. Statement 3 is correct because white light or a continuous spectrum source must pass through a cooler gas to produce absorption lines. Statement 4 is incorrect because absorption spectra are characterized by missing wavelengths, not bright emission lines. 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:
- Evaluate each statement using the basic characteristics of absorption spectra.
Final Logic:
- Only statements 1, 2 and 3 correctly describe absorption spectra.
Absorb = Dark, Emit = Bright
12 If a hypothetical atomic system consists of a nucleus with y protons and an electron shell containing x electrons, what expression represents the net negative charge excess of the system?
�� Positive charge = +ye. �� Negative charge = −xe. �� Net charge = (y − x)e.
The nucleus contributes a positive charge of +ye, while the electron cloud contributes −xe. Net charge = ye − xe = (y − x)e Therefore, option D is mathematically correct.
- �� Option A → Incorrect because positive and negative charges are added directly.
- �� Option B → Incorrect because both charges are treated as positive.
- �� Option C → Incorrect because it gives the opposite sign.
Used
- Substitution
Application:
- Assign proper signs to proton and electron charges before combining them.
Final Logic:
- (+ye) + (−xe) = (y − x)e.
Protons Minus Electrons
13 Which of the following is correct regarding the linkage between atomic structure and spectra?
�� Classical theory predicts continuous radiation. �� Hydrogen shows discrete spectral lines. �� This created a major theoretical problem.
According to classical electrodynamics, an accelerating charge continuously emits electromagnetic radiation. Since an orbiting electron is accelerating, Rutherford's model predicts continuous energy loss and a continuous spectrum. However, hydrogen exhibits discrete spectral lines. This contradiction showed that classical physics could not fully explain atomic structure. Therefore, option C is correct.
- �� Option A → Incorrect because classical mechanics failed to explain hydrogen spectra.
- �� Option B → Incorrect because continuous orbital changes would produce continuous, not discrete, spectra.
- �� Option D → Incorrect because Rutherford's model imposed no restrictions on electron orbits.
Used
- Contextual/Tonal Matching
Application:
- Compare classical predictions with experimental observations.
Final Logic:
- Classical continuous emission contradicts discrete spectra.
Classical → Continuous, Hydrogen → Discrete
14 Match List I with List II regarding energy states and classical predictions
| List I | List II |
|---|---|
| 1. Accelerated classical electron | a. Stationary state |
| 2. Bohr's non-radiating orbit | b. Emits a discrete photon |
| 3. Electron transition to lower state | c. Spirals into nucleus |
| 4. Rarefied gas emission | d. Discrete characteristic spectrum |
�� Accelerating electrons radiate energy. �� Bohr introduced stationary states. �� Transitions produce photons.
1 → c : A classical accelerating electron loses energy and spirals inward. 2 → a : Bohr's stationary orbit is a non-radiating state. 3 → b : Transition to a lower energy level emits a discrete photon. 4 → d : Rarefied gases produce characteristic line spectra. Thus, option B is correct.
- �� Option A → Incorrect matching of classical electron and Bohr orbit.
- �� Option C → Incorrect matching of transition and stationary state.
- �� Option D → Multiple pairings are incorrect.
Used
- Option Grouping
Application:
- Match each concept with its defining consequence.
Final Logic:
- Only option B correctly matches all pairs.
Spiral–Stationary–Photon–Spectrum
15 While Balmer formulated his empirical equation in 1885, its deeper physical significance presented a challenge because
�� Balmer found a mathematical relation. �� Physical interpretation was missing. �� Bohr later provided explanation.
Balmer successfully described hydrogen wavelengths mathematically, but no accepted atomic model existed to explain why those wavelengths occurred. Theoretical understanding emerged later through Bohr's atomic model. Therefore, option C is correct.
- �� Option A → Incorrect because Balmer's formula was based on accurate experimental data.
- �� Option B → Incorrect because the formula specifically applies to hydrogen.
- �� Option D → Incorrect because random spectral shifting was not the issue.
Used
- Contextual/Tonal Matching
Application:
- Separate mathematical success from physical explanation.
Final Logic:
- The formula existed before the theory explaining it.
Balmer Before Bohr
16 Hydrogen's atomic composition and the nature of its resulting emission spectrum are respectively characterized as:
�� Hydrogen contains one proton and one electron. �� It is structurally simple. �� Its spectrum contains many specific lines.
Hydrogen is the simplest atom, containing only one proton and one electron. Despite this simplicity, it exhibits a complex spectrum consisting of many discrete wavelengths arranged in spectral series. Therefore, option B is correct.
- �� Option A → Incorrect because the spectrum is not simple.
- �� Option C → Incorrect because hydrogen does not produce a continuous spectrum.
- �� Option D → Incorrect because hydrogen is structurally simple.
Used
- Contextual/Tonal Matching
Application:
- Compare atomic structure with spectral behavior.
Final Logic:
- Simple atom, complex spectrum.
Simple Atom → Rich Spectrum
17 In the Geiger-Marsden experiment, what is the maximum upper limit calculated for the radius of a gold nucleus (Z=79) based on the distance of closest approach for a 7.7 MeV alpha-particle?
�� Closest approach estimates nuclear size. �� Nuclear radius is extremely small. �� It is much smaller than atomic size.
Using the distance of closest approach calculation for a 7.7 MeV alpha particle and a gold nucleus, Rutherford's analysis gives an upper limit of approximately 3.0 × 10⁻¹⁴ m for the nuclear radius. Hence, option A is correct.
- �� Option B → Represents an atomic-scale dimension rather than a nuclear scale.
- �� Option C → Unrealistically large value.
- �� Option D → Much larger than known nuclear dimensions.
Used
- Dimensional/Unit Analysis
Application:
- Compare typical nuclear dimensions with atomic dimensions.
Final Logic:
- Nuclear radii are of the order of 10⁻¹⁴ m.
Nucleus ≈ 10⁻¹⁴ m
18 Incorrect statement regarding Rutherford's assumptions during the scattering experiment analysis:
�� Alpha particles are heavy. �� Electron influence is negligible. �� Scattering is dominated by the nucleus.
Because alpha particles are much more massive than electrons, the electrons exert only a negligible influence on their trajectories. Rutherford's analysis considered nuclear interactions as the dominant cause of scattering. Therefore, option C is correct.
- �� Option A → Valid approximation used in the analysis.
- �� Option B → Valid assumption for a thin foil.
- �� Option D → Correct description of closest approach.
Used
- Odd One Out
Application:
- Identify the assumption inconsistent with Rutherford's model.
Final Logic:
- Electrons cannot significantly deflect heavy alpha particles.
Alpha Heavy, Electron Light
19 Which of the following is correct regarding the theoretical conclusions drawn from the discovery of the nucleus?
�� Rutherford proposed orbiting electrons. �� Classical theory predicts energy loss. �� Stable atoms could not be explained.
In Rutherford's model, orbiting electrons are accelerating charges and should continuously radiate energy. Consequently, they would spiral into the nucleus, making atoms unstable. This conflict became a major problem for classical physics. Therefore, option B is correct.
- �� Option A → Incorrect because mass is concentrated in the nucleus.
- �� Option C → Incorrect because alpha particles are much heavier than electrons.
- �� Option D → Incorrect because Rutherford's model did not explain discrete spectra.
Used
- Contextual/Tonal Matching
Application:
- Compare Rutherford's model with classical electrodynamics.
Final Logic:
- The model explained scattering but not stability.
Rutherford → Stability Problem
20 Statements about the broader implications of Rutherford's early work:
1. He discovered an isotope of radon called thoron.
2. He estimated the approximate size of the nucleus to be much smaller than the atom.
3. He proposed that noble gases cannot be ionized.
4. He created the modern theory of radioactivity alongside Soddy.
�� Rutherford discovered thoron. �� He estimated nuclear size. �� He worked with Soddy on radioactivity.
Statement 1 is correct because Rutherford identified thoron, a radioactive isotope of radon. Statement 2 is correct because scattering experiments showed the nucleus is much smaller than the atom. Statement 3 is incorrect because noble gases can be ionized under suitable conditions. Statement 4 is correct because Rutherford and Soddy developed the modern theory of radioactivity. Therefore, statements 1, 2 and 4 are correct.
- �� Option A → Includes statement 3, which is incorrect.
- �� Option C → Includes statement 3, which is incorrect.
- �� Option B → Includes statement 3, which is incorrect.
Used
- Elimination
Application:
- Verify each statement using Rutherford's established contributions.
Final Logic:
- Only statements 1, 2 and 4 are correct.
Thoron–Nucleus–Soddy
