Wave Optics Mock Test – Class 12 Physics
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Wave Optics Mock Test – Class 12 Physics

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Wave Optics – Progressive Test

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1. A graph is plotted with on the vertical axis and on the horizontal axis for monochromatic light. If the slope is , the wavelength is

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2. Colours seen in a thin soap film are mainly produced because light waves reflected from the upper and lower surfaces of the film

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3. A monochromatic wave travels in a medium with speed and frequency . Its wavelength in that medium is

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4. Assertion: A very small aperture can make the shadow boundary less sharp.
Reason: When aperture size is comparable to wavelength, diffraction spreading becomes appreciable.

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5. If two equal-intensity coherent waves have path difference , their resultant intensity is

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6. A ray is incident from air on a medium of refractive index . At the polarising angle, the refracted angle satisfies

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7. A student draws the electric field vibration of reflected light at Brewster angle along the reflected ray. The drawing is incorrect because

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8. Intensity in wave optics is connected more directly with

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9. Coherent waves with intensities and can produce a maximum resultant intensity of

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10. A graph of intensity versus screen position in a Young's double-slit experiment has the central bright fringe at . The nearest dark fringes should appear at

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11. Consider the following statements about Malus' law and polariser chains.
Statement I: Malus' law is applied to plane-polarised light incident on an analyser.
Statement II: Unpolarised light becomes half as intense after one ideal polariser.
Statement III: Two crossed ideal polarisers with no middle polariser transmit maximum intensity.

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12. Assertion: A thin transparent sheet placed in front of one slit shifts the entire Young's double-slit fringe pattern.
Reason: The sheet introduces an extra optical path in one beam.

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13. A microscope is used first with air and then with an oil-immersion medium of higher refractive index, keeping the objective geometry suitable. The resolution improves mainly because

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14. A star's spectral line is observed at a slightly shorter wavelength than its known laboratory wavelength. The observation is best described as

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15. At a point, two equal-amplitude coherent waves have phase difference . If increasing by one wavelength changes by , the interference condition there

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16. Assertion: The direction of propagation of a wavefront is normal to the wavefront.
Reason: In Huygens' construction, the new wavefront is obtained as the forward envelope of secondary wavelets.

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17. A double-slit pattern has equally spaced bright and dark fringes. If the distance from the central bright fringe to the first dark fringe is , the fringe width is

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18. A transparent medium has . Another has . For incidence from air, the medium with has

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19. A set of parallel plane wavefronts in a uniform medium has equal spacing. This equal spacing physically represents

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20. A light wave goes from medium to medium . Its wavelength changes from to . If the angle of incidence is , then is

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21. The first dark fringe on one side of the central bright fringe corresponds to

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22. A graph description is given below.

For source pair P, phase difference versus time is a horizontal line. For source pair Q, versus time fluctuates irregularly.

The source pair more suitable for sustained interference is

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23. Inside a liquid of refractive index , light is incident on the liquid-air surface. Taking air as , the ray is totally internally reflected when

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24. A student draws only straight rays through a slit and predicts a perfectly sharp light patch on the screen. This prediction is most likely to be poor when

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25. Use the wavefront description below.

A plane wavefront in a denser medium is incident on a boundary with a rarer medium. As the incidence angle increases, the refracted wavefront in the rarer medium becomes more tilted. At one limiting angle, the refracted ray would travel along the boundary.

The limiting angle described in the passage is

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26. A notebook table lists some wave-optics symbols and units.

Row Quantity Symbol Listed unit
P Wavelength
Q Frequency
R Angular frequency
S Phase

The row that must be revised is

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27. At normal incidence on a plane boundary, a light wave enters a medium where its speed changes. The direction of the ray does not bend because

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28. Consider the following statements about dark fringes in Young's double-slit experiment.
Statement I: The central fringe is dark when the two slits are symmetrically placed.
Statement II: The first dark fringe from the centre corresponds to path difference .
Statement III: Dark fringes occur symmetrically on both sides of the central bright fringe.

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29. A statement says, “When two equal beams interfere constructively, energy is created because the maximum intensity becomes instead of .” The correct interpretation is that

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30. Unpolarised light of intensity passes through three ideal polarisers. The second polariser is at to the first, and the third is at to the second. The final intensity is

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31. A graph is plotted for a Young's double-slit experiment with fringe width on the vertical axis and on the horizontal axis, keeping and fixed. The slope of the graph is

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32. A wavefront explanation of total internal reflection says that beyond the critical angle

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33. The diffraction pattern of a single slit is evidence against a purely geometrical ray description because it shows

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34. In Young's double-slit experiment, the approximation becomes unreliable far from the central region mainly because

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35. Two light waves reach the same point with equal amplitudes and the same phase. The resultant amplitude at that point is

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36. Consider the following statements about fringe width in Young's double-slit experiment.
Statement I: The spacing between consecutive bright fringes is equal to the spacing between consecutive dark fringes.
Statement II: The distance between a bright fringe and its nearest dark fringe is .
Statement III: Increasing while keeping and fixed increases .

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37. A table compares possible source pairs for observing sustained interference.

Row Source pair Expected phase relation
P Two slits illuminated by the same monochromatic source Constant phase difference
Q Two independent ordinary bulbs Randomly varying phase difference
R Two parts of one wavefront used as secondary sources Coherent sources possible
S Two unrelated sources of equal brightness Always coherent

The row that needs correction is

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38. Use the reflection arrangement described below.

A plane wavefront is incident obliquely on a plane reflecting surface. Point reaches the surface first. By the time point reaches the surface, the secondary wavelet from has travelled a distance .

If the incident part near travels a distance in the same time and in the same medium, the relation between these distances is

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39. A record of three wavefronts is shown below.

Row Description Most suitable interpretation
P Concentric expanding surfaces from a small source Spherical wavefront
Q Almost flat same-phase surfaces in a small region far from source Plane wavefront
R Same-phase surfaces wrapped around a long line source Cylindrical wavefront
S Rays drawn along a plane wavefront Correct ray-wavefront relation

The row that needs correction is

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40. Polarisation of light means that the vibrations of the light wave are

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41. Match the observation with the wave-optics idea most closely involved.

Observation Wave-optics idea
P. Colours produced by overlapping reflected light waves 1. Polarisation
Q. Spreading of light after passing through a very narrow slit 2. Diffraction
R. Reduction of glare by a polaroid sheet 3. Interference

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42. Two points of a light wave are said to be in the same phase when they

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43. Two sources emit light of the same frequency, but their phase difference changes irregularly with time. They should be classified as

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44. A -wide single slit is illuminated by light of wavelength . The approximate angular width of the central maximum is

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45. Two coherent light waves reach a point with path difference . Their phase difference is

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46. For the same two coherent waves with and , the minimum possible resultant intensity is

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47. In Young's double-slit experiment with white light, the central fringe is white because

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48. A material has a larger polarising angle than another material for incidence from air. The best inference is that the first material has

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49. Two independent ordinary bulbs do not usually produce a stable interference pattern on a screen because

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50. For light going from medium to medium , where , the critical angle satisfies

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