CUET UG Physics Booster Test 2 -Historical Models and Electromagnetic Theory
📌 Answers are locked once submitted — results and explanations appear at the end.
QUESTION 1 OF 20
Consider the statements regarding the implications of the Cartesian corpuscular model. Choose the correct statements:
1. It successfully derived Snell's law.
2. It explained the laws of reflection and refraction at an interface.
3. It predicted that a ray bending towards the normal requires the speed in the second medium to be lesser.
4. Its prediction regarding wave speed upon refraction was ultimately proven incorrect by experiments.
QUESTION 2 OF 20
The tremendous popularity of Newton's book OPTICKS led to the historical consequence that:
QUESTION 3 OF 20
Match List I (Waveform descriptions) with List II (Corresponding states according to Huygens' principle).
| List I | List II |
|---|---|
| 1. Wavefront at t = 0 | a. Source of secondary disturbance |
| 2. Point on the wavefront | b. Justified to be absent by an adhoc assumption |
| 3. Envelope of secondary wavelets | c. New position of the wavefront at time t |
| 4. Backwave | d. Initial surface of constant phase |
QUESTION 4 OF 20
Applying Huygens' principle to a plane wave refracting into a medium, which condition must hold true to predict that the wave bends towards the normal?
QUESTION 5 OF 20
Choose the correct statements about the propagation of light through vacuum:
1. Pre-Maxwell physicists struggled to understand it because it was thought waves require a medium.
2. Maxwell explained it by associating light with changing electric and magnetic fields.
3. It proved that the corpuscular model was completely correct.
4. It showed that time and space varying fields result in propagation without a physical medium.
QUESTION 6 OF 20
In the mid-19th century, scientists believed light propagation inherently required a ________, but Maxwell resolved this by showing propagation depends on oscillating ________.
QUESTION 7 OF 20
Identify the incorrect statement regarding the experimental speeds and historical models:
QUESTION 8 OF 20
The primary significance of Foucault's 1850 experiment was that it:
1. proved the existence of the ether.
2. confirmed the wave model's prediction regarding light speeds in different media.
3. demonstrated that light bends away from the normal in water.
4. rejected the interference principle.
QUESTION 9 OF 20
If the wavelength of yellow light is about 0.6 mm, what will be the distance covered by 1000 such wavelengths?
QUESTION 10 OF 20
When Maxwell proposed that light is an electromagnetic wave, he essentially united the optics discipline with the laws of:
QUESTION 11 OF 20
Identify the incorrect statement about the interrelation of fields in Maxwell's theory:
QUESTION 12 OF 20
In the electromagnetic wave context, the interdependent generation of fields implies that if the electric field varies, the magnetic field will be:
QUESTION 13 OF 20
Choose the correct statements regarding Heinrich Hertz's production of radiowaves:
1. was accomplished around 1855, at the same time as Maxwell's prediction.
2. provided experimental realization of Maxwell's theoretical predictions in the laboratory.
3. was based on Descartes' corpuscular model.
4. proved that radio waves require a mechanical medium.
QUESTION 14 OF 20
Identify the correct statements about the transition from theory to practical application of EM waves:
1. Maxwell theoretically predicted the existence of EM waves.
2. Hertz produced them in the laboratory decades later.
3. J.C. Bose and G. Marconi made practical applications of these Hertzian waves.
4. Thomas Young used radiowaves for his double-slit experiment.
QUESTION 15 OF 20
Identify the correct statements about geometrical optics and wavelength limit:
1. It completely neglects the finiteness of the wavelength.
2. It assumes light can approximately travel in straight lines.
3. It treats light strictly as an energy path limit tending to zero wavelength.
4. It works because the wavelength of visible light is huge compared to lenses.
QUESTION 16 OF 20
The rectilinear propagation approximation works well when the dimensions of typical mirrors and lenses are ________ compared to the extremely ________ wavelength of visible light.
QUESTION 17 OF 20
If the wavelength of yellow light is about 0.6 mm, what is the distance of 100 such wavelengths combined?
QUESTION 18 OF 20
Match List I (Concepts) with List II (Wave properties).
| List I | List II |
|---|---|
| 1. Direction of energy travel | a. Perpendicular to wavefront |
| 2. Constant phase locus | b. Wavefront surface |
| 3. Ray and wavefront relationship | c. Mutually perpendicular |
| 4. Backwave amplitude (Huygens) | d. Zero |
QUESTION 19 OF 20
The wave theory of light was ultimately cemented around the middle of the 19th century largely because:
QUESTION 20 OF 20
If Maxwell's theoretical calculation for the speed of EM waves in free space is represented by c, and the measured speed of light is vm, his conclusion heavily relied on the mathematical fact that:
Test Complete!
Answer Review
1 Consider the statements regarding the implications of the Cartesian corpuscular model. Choose the correct statements:
1. It successfully derived Snell's law.
2. It explained the laws of reflection and refraction at an interface.
3. It predicted that a ray bending towards the normal requires the speed in the second medium to be lesser.
4. Its prediction regarding wave speed upon refraction was ultimately proven incorrect by experiments.
�� Descartes proposed the corpuscular model. �� It explained reflection and refraction. �� Its speed prediction was later disproved.
Statement 1 is correct because the corpuscular approach successfully accounted for refraction mathematically. Statement 2 is correct because it explained reflection and refraction at interfaces. Statement 3 is incorrect because the corpuscular model predicted that light moves faster in the second medium when bending toward the normal. Statement 4 is correct because Foucault's experiment later showed that light travels slower in water than in air. Therefore Statements 1, 2 and 4 are correct.
- �� Option A → Includes incorrect Statement 3.
- �� Option C → Includes incorrect Statement 3.
- �� Option D → Includes incorrect Statement 3.
Used
- Elimination
Application:
- �� Identify the statement contradicting the corpuscular prediction.
Final Logic:
- �� Statement 3 is false; 1, 2 and 4 are correct.
- Corpuscles Predicted Faster.
2 The tremendous popularity of Newton's book OPTICKS led to the historical consequence that:
�� Newton popularized the corpuscular theory. �� Descartes proposed it earlier. �� The theory became associated with Newton.
Although Descartes proposed the corpuscular model in 1637, Newton's influential book OPTICKS made the theory widely known. As a result, the corpuscular model is often attributed to Newton rather than Descartes. Therefore Option B is correct.
- �� Option A → Descartes' contribution remained historically documented.
- �� Option C → Huygens did not abandon his theory.
- �� Option D → Maxwell's work came much later in the nineteenth century.
Used
- Concept Recall
Application:
- �� Recall the historical impact of Newton's OPTICKS.
Final Logic:
- �� Popularity caused attribution to Newton.
- Descartes Started, Newton Popularized.
3 Match List I (Waveform descriptions) with List II (Corresponding states according to Huygens' principle).
| List I | List II |
|---|---|
| 1. Wavefront at t = 0 | a. Source of secondary disturbance |
| 2. Point on the wavefront | b. Justified to be absent by an adhoc assumption |
| 3. Envelope of secondary wavelets | c. New position of the wavefront at time t |
| 4. Backwave | d. Initial surface of constant phase |
�� Each point on a wavefront acts as a source. �� Envelope forms the new wavefront. �� Backwaves are ignored through Huygens' assumption.
1 → d because the initial wavefront is a surface of constant phase. 2 → a because every point on the wavefront acts as a source of secondary wavelets. 3 → c because the envelope of secondary wavelets gives the new wavefront. 4 → b because backward wavelets are neglected using an adhoc assumption. Hence: 1-d, 2-a, 3-c, 4-b
- �� Option B → Interchanges wavefront and source roles.
- �� Option C → Incorrect envelope matching.
- �� Option D → Multiple incorrect matches.
Used
- Concept Matching
Application:
- �� Match Huygens' terminology with definitions.
Final Logic:
- �� Only Option A gives all correct pairings.
- Point → Wavelet → Envelope → New Wavefront.
4 Applying Huygens' principle to a plane wave refracting into a medium, which condition must hold true to predict that the wave bends towards the normal?
�� Bending toward the normal means slowing down. �� Huygens' theory links refraction to speed change. �� Denser medium reduces speed.
According to Huygens' wave theory, when light enters a denser medium and bends toward the normal, its speed decreases. Thus: v₂ < v₁ Therefore Option B is correct.
- �� Option A → Opposite prediction.
- �� Option C → Refraction requires speed change.
- �� Option D → Light does not stop.
Used
- Concept Recall
Application:
- �� Relate direction of bending with wave speed.
Final Logic:
- �� Toward normal implies lower speed.
- Toward Normal → Speed Smaller.
5 Choose the correct statements about the propagation of light through vacuum:
1. Pre-Maxwell physicists struggled to understand it because it was thought waves require a medium.
2. Maxwell explained it by associating light with changing electric and magnetic fields.
3. It proved that the corpuscular model was completely correct.
4. It showed that time and space varying fields result in propagation without a physical medium.
�� Vacuum propagation puzzled scientists. �� Maxwell explained propagation using fields. �� No physical medium is required.
Statement 1 is correct because waves were believed to require a medium. Statement 2 is correct because Maxwell linked light to oscillating electric and magnetic fields. Statement 3 is incorrect because vacuum propagation did not prove the corpuscular model. Statement 4 is correct because changing fields can propagate through free space. Therefore Statements 1, 2 and 4 are correct.
- �� Option A → Includes incorrect Statement 3.
- �� Option C → Includes incorrect Statement 3.
- �� Option D → Includes incorrect Statement 3.
Used
- Elimination
Application:
- �� Remove statements unsupported by electromagnetic theory.
Final Logic:
- �� Statement 3 is false.
- EM Fields Need No Medium.
6 In the mid-19th century, scientists believed light propagation inherently required a ________, but Maxwell resolved this by showing propagation depends on oscillating ________.
�� Waves were believed to need a medium. �� Maxwell introduced electromagnetic fields. �� Fields propagate through vacuum.
Scientists believed light required a medium for propagation. Maxwell showed that changing electric and magnetic fields sustain each other and propagate without a material medium. Thus the blanks are: Medium, Fields Therefore Option B is correct.
- �� Option A → Vacuum was not considered the medium.
- �� Option C → Incorrect scientific relationship.
- �� Option D → Reverses the concepts.
Used
- Concept Recall
Application:
- �� Recall Maxwell's solution to the propagation problem.
Final Logic:
- �� Medium was replaced by oscillating fields.
- Medium Replaced by Fields.
7 Identify the incorrect statement regarding the experimental speeds and historical models:
�� Water slows light. �� Wave theory was confirmed. �� Corpuscular prediction failed.
Experiments showed: vwater < vair Thus Statement D is incorrect. Foucault's results supported the wave theory and contradicted the corpuscular theory.
- �� Option A → Correct wave-model prediction.
- �� Option B → Correct corpuscular prediction.
- �� Option C → Correct interpretation of Foucault's result.
Used
- Concept Recall
Application:
- �� Compare experimental results with theoretical predictions.
Final Logic:
- �� Water slows light, making D incorrect.
- Water < Air.
8 The primary significance of Foucault's 1850 experiment was that it:
1. proved the existence of the ether.
2. confirmed the wave model's prediction regarding light speeds in different media.
3. demonstrated that light bends away from the normal in water.
4. rejected the interference principle.
�� Foucault measured light speed. �� Results supported wave theory. �� Corpuscular prediction failed.
Statement 2 is correct because Foucault experimentally verified that light travels slower in water than in air. Statements 1, 3 and 4 are incorrect. Therefore only Statement 2 is correct.
- �� Option A → Ether was not proven.
- �� Option C → Not the result of the experiment.
- �� Option D → Interference remained valid.
Used
- Elimination
Application:
- �� Focus on the actual outcome of Foucault's measurement.
Final Logic:
- �� Only Statement 2 is correct.
- Foucault Confirmed Waves.
9 If the wavelength of yellow light is about 0.6 mm, what will be the distance covered by 1000 such wavelengths?
�� Distance = Number × Wavelength. �� Convert mm to m. �� Use direct multiplication.
Given: λ = 0.6 mm Distance = 1000 × 0.6 mm = 600 mm = 0.6 m Therefore Option A is correct.
- �� Option B → Ten times larger.
- �� Option C → Hundred times larger.
- �� Option D → Thousand times larger.
Used
- Substitution
Application:
- �� Multiply wavelength by number of waves.
Final Logic:
- �� 1000 × 0.6 mm = 0.6 m.
- 1000 mm = 1 m.
10 When Maxwell proposed that light is an electromagnetic wave, he essentially united the optics discipline with the laws of:
�� Maxwell unified electricity and magnetism. �� Light became an electromagnetic phenomenon. �� Optics became linked with electromagnetism.
Maxwell derived electromagnetic wave equations from the laws of electricity and magnetism. Since the calculated speed matched the speed of light, he concluded that light is an electromagnetic wave. Thus optics became connected to electromagnetism. Therefore Option B is correct.
- �� Option A → Not related to Maxwell's theory.
- �� Option C → Maxwell did not unify optics with thermodynamics.
- �� Option D → Gravity was not involved.
Used
- Concept Recall
Application:
- �� Recall Maxwell's major scientific unification.
Final Logic:
- �� Light was identified as an electromagnetic phenomenon.
- Maxwell = Electricity + Magnetism + Light.
11 Identify the incorrect statement about the interrelation of fields in Maxwell's theory:
�� Maxwell's theory involves changing fields. �� Electric and magnetic fields continuously generate each other. �� Constant fields cannot sustain electromagnetic waves.
According to Maxwell's theory: • A changing electric field produces a changing magnetic field. • A changing magnetic field produces a changing electric field. The propagation of electromagnetic waves is possible only because both fields vary with time and position. Therefore Statement C is incorrect.
- �� Option A → Correct Maxwellian prediction.
- �� Option B → Correct Maxwellian prediction.
- �� Option D → Correct explanation of EM wave propagation.
Used
- Elimination
Application:
- �� Identify the statement inconsistent with Maxwell's equations.
Final Logic:
- �� Electromagnetic waves require varying, not constant, fields.
- Changing E ↔ Changing B.
12 In the electromagnetic wave context, the interdependent generation of fields implies that if the electric field varies, the magnetic field will be:
�� Electric and magnetic fields are coupled. �� A varying electric field creates a varying magnetic field. �� This sustains electromagnetic waves.
Maxwell showed that a changing electric field generates a magnetic field that also varies with time and position. Thus, if the electric field varies, the magnetic field must also be time and space varying. Therefore Option C is correct.
- �� Option A → A varying electric field does not produce zero magnetic field.
- �� Option B → The magnetic field is not static.
- �� Option D → The magnetic field is finite and well-defined.
Used
- Concept Recall
Application:
- �� Recall the relationship between changing electric and magnetic fields.
Final Logic:
- �� Varying electric field implies varying magnetic field.
- Variable E → Variable B.
13 Choose the correct statements regarding Heinrich Hertz's production of radiowaves:
1. was accomplished around 1855, at the same time as Maxwell's prediction.
2. provided experimental realization of Maxwell's theoretical predictions in the laboratory.
3. was based on Descartes' corpuscular model.
4. proved that radio waves require a mechanical medium.
�� Hertz generated radio waves experimentally. �� His work confirmed Maxwell's theory. �� Radio waves do not require a mechanical medium.
Statement 2 is correct because Hertz experimentally produced electromagnetic waves and verified Maxwell's prediction. Statement 1 is incorrect because Hertz's work came decades after Maxwell's theoretical work. Statement 3 is incorrect because the experiment was based on electromagnetic theory. Statement 4 is incorrect because electromagnetic waves can propagate through vacuum. 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:
- �� Compare Hertz's experiment with Maxwell's theory.
Final Logic:
- �� Only Statement 2 is correct.
- Maxwell Predicted, Hertz Proved.
14 Identify the correct statements about the transition from theory to practical application of EM waves:
1. Maxwell theoretically predicted the existence of EM waves.
2. Hertz produced them in the laboratory decades later.
3. J.C. Bose and G. Marconi made practical applications of these Hertzian waves.
4. Thomas Young used radiowaves for his double-slit experiment.
�� Maxwell predicted EM waves. �� Hertz generated them. �� Bose and Marconi applied them.
Statement 1 is correct because Maxwell predicted electromagnetic waves mathematically. Statement 2 is correct because Hertz later produced them experimentally. Statement 3 is correct because Bose and Marconi developed practical wireless applications. Statement 4 is incorrect because Young's double-slit experiment used visible light, not radio waves. Therefore Statements 1, 2 and 3 are correct.
- �� Option B → Includes incorrect Statement 4.
- �� Option C → Includes incorrect Statement 4.
- �� Option D → Includes incorrect Statement 4.
Used
- Elimination
Application:
- �� Identify the statement unrelated to radio-wave development.
Final Logic:
- �� Statement 4 is false.
- Maxwell → Hertz → Bose/Marconi.
15 Identify the correct statements about geometrical optics and wavelength limit:
1. It completely neglects the finiteness of the wavelength.
2. It assumes light can approximately travel in straight lines.
3. It treats light strictly as an energy path limit tending to zero wavelength.
4. It works because the wavelength of visible light is huge compared to lenses.
�� Geometrical optics neglects wavelength. �� Rays approximate light propagation. �� Visible wavelengths are very small compared to optical instruments.
Statement 1 is correct because geometrical optics ignores wavelength effects. Statement 2 is correct because light is approximated as traveling in straight lines. Statement 3 is correct because rays represent energy propagation in the limit λ → 0. Statement 4 is incorrect because visible wavelengths are extremely small, not huge, compared to lenses and mirrors. Therefore Statements 1, 2 and 3 are correct.
- �� Option B → Includes incorrect Statement 4.
- �� Option C → Includes incorrect Statement 4.
- �� Option D → Includes incorrect Statement 4.
Used
- Elimination
Application:
- �� Identify the statement contradicting the wavelength approximation.
Final Logic:
- �� Visible wavelength is small, not huge.
- λ → 0 ⇒ Ray Optics.
16 The rectilinear propagation approximation works well when the dimensions of typical mirrors and lenses are ________ compared to the extremely ________ wavelength of visible light.
�� Visible wavelengths are tiny. �� Optical instruments are much larger. �� Straight-line propagation becomes valid.
The dimensions of mirrors and lenses are much larger than the wavelength of visible light. Because: Dimensions ≫ Wavelength light can be approximated as traveling in straight lines. Therefore the correct pair is: Large, Small Hence Option B is correct.
- �� Option A → Reverses the actual relationship.
- �� Option C → Both are not small.
- �� Option D → Wavelength is not large.
Used
- Concept Recall
Application:
- �� Recall the condition for geometrical optics.
Final Logic:
- �� Instrument size ≫ wavelength.
- Big Lens, Tiny λ.
17 If the wavelength of yellow light is about 0.6 mm, what is the distance of 100 such wavelengths combined?
�� Distance = Number × Wavelength. �� Multiply directly. �� Keep units consistent.
Given: λ = 0.6 mm Distance = 100 × 0.6 mm = 60 mm Therefore Option B is correct.
- �� Option A → Equals only 10 wavelengths.
- �� Option C → Equals 1000 wavelengths.
- �� Option D → Equals 10000 wavelengths.
Used
- Substitution
Application:
- �� Multiply wavelength by the number of waves.
Final Logic:
- �� 100 × 0.6 mm = 60 mm.
- 100 × 0.6 = 60.
18 Match List I (Concepts) with List II (Wave properties).
| List I | List II |
|---|---|
| 1. Direction of energy travel | a. Perpendicular to wavefront |
| 2. Constant phase locus | b. Wavefront surface |
| 3. Ray and wavefront relationship | c. Mutually perpendicular |
| 4. Backwave amplitude (Huygens) | d. Zero |
�� Energy travels along rays. �� Wavefronts are constant-phase surfaces. �� Rays are perpendicular to wavefronts.
1 → a because energy propagates perpendicular to the wavefront. 2 → b because a wavefront is a surface of constant phase. 3 → c because rays and wavefronts are mutually perpendicular. 4 → d because the backward wave amplitude is taken as zero in Huygens' construction. Therefore: 1-a, 2-b, 3-c, 4-d Hence Option A is correct.
- �� Option B → Incorrect matching of energy travel and wavefront.
- �� Option C → Incorrect matching of constant phase.
- �� Option D → Multiple incorrect pairings.
Used
- Concept Matching
Application:
- �� Match wavefront terminology with definitions.
Final Logic:
- �� Only Option A gives all correct matches.
- Rays ⟂ Wavefronts.
19 The wave theory of light was ultimately cemented around the middle of the 19th century largely because:
�� Interference and diffraction support wave behavior. �� Young's experiment was crucial. �� Experimental evidence favored wave theory.
Wave theory gained widespread acceptance because many phenomena such as: • Interference • Diffraction could only be explained using wave concepts. Foucault's experiment later provided additional support. Therefore Option B is correct.
- �� Option A → Never occurred.
- �� Option C → Unrelated to wave optics.
- �� Option D → Foucault showed light is slower in water.
Used
- Concept Recall
Application:
- �� Identify the experimental evidence supporting wave theory.
Final Logic:
- �� Interference and diffraction established the wave model.
- Interference + Diffraction = Wave.
20 If Maxwell's theoretical calculation for the speed of EM waves in free space is represented by c, and the measured speed of light is vm, his conclusion heavily relied on the mathematical fact that:
�� Maxwell calculated EM wave speed. �� It matched measured light speed. �� This led to the identification of light as an EM wave.
Maxwell calculated the speed of electromagnetic waves from his equations. The calculated value was extremely close to the measured speed of light: c ≈ vm This remarkable agreement led him to conclude that light itself is an electromagnetic wave. Therefore Option B is correct.
- �� Option A → The values are not vastly different.
- �� Option C → The values are not vastly different.
- �� Option D → The speed is not zero.
Used
- Concept Recall
Application:
- �� Recall Maxwell's comparison between theoretical and measured speeds.
Final Logic:
- �� c ≈ vm established the electromagnetic nature of light.
- Same Speed ⇒ Same Phenomenon.
