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. Two light waves of the same frequency travel in the same medium. Their amplitudes are in the ratio . If intensity is proportional to the square of amplitude, the ratio of their intensities is

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2. Consider the following statements about a polariser and analyser.
Statement I: A polariser can convert unpolarised light into plane-polarised light.
Statement II: An analyser can be used to detect the vibration direction of plane-polarised light.
Statement III: Crossed polariser and analyser axes give maximum transmitted intensity in the ideal case.

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3. A row of fringes is observed moving outward from the central bright fringe on one side. The correct order is

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4. A student says, “Sound waves in air should be polarised in the same way as light.” The best correction is that

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5. A table compares thin-film observations.

Row Observation Best explanation
P Colours in a soap bubble Interference of reflected light
Q Colours in a thin oil film on water Interference due to small thickness
R Uniform thick glass plate in ordinary reflection Always the same as a thin-film colour pattern
S Changing colour across a wedge film Changing thickness changes phase difference

The row that needs correction is

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6. In the usual small-angle treatment of Young's double-slit experiment, the path difference at screen coordinate is approximately

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7. The fifth bright fringe in a Young's double-slit experiment is observed at from the centre. A transparent sheet introduced before one slit shifts the whole pattern by . The extra optical path introduced by the sheet is

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8. Two coherent sources produce maximum and minimum intensities and , respectively. The ratio of the individual intensities of the two sources is

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9. A beam of unpolarised light is passed through a polariser and then an analyser. When the analyser is rotated through , the transmitted intensity varies periodically. This observation shows that

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

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11. In the usual textbook convention, the plane of vibration of plane-polarised light is the plane containing

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12. A learner compares interference, diffraction, and polarisation in a wave-optics summary.
Statement I: Interference depends on superposition and phase difference.
Statement II: Diffraction depends on spreading due to finite apertures or obstacles.
Statement III: Polarisation depends on the transverse vibration direction of light.

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13. A graph description is given below.

At a fixed point, the resultant amplitude of two equal light waves is varied by changing their relative phase. The vertical axis represents intensity , and the horizontal axis represents resultant amplitude .

The graph should show that

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14. A student compares two diffraction arrangements.

Arrangement Description
P Source and screen are at finite distances from the aperture.
Q Lenses are used to make the source and screen effectively at infinity.

The correct classification is

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15. A claim says, “When light enters glass from air, its colour changes because its frequency changes.” The best evaluation of this claim is that

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16. The reflected light from a dielectric surface is strongest in polarisation when the incidence angle is

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17. A graph is described below.

The horizontal axis shows phase difference from to . Bright points occur where the two equal-amplitude coherent waves are in phase, and dark points occur where they are in opposite phase.

The dark points occur at

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18. When unpolarised light is incident on a transparent surface at the polarising angle, the reflected light is

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19. A source used for a clear double-slit pattern is changed from monochromatic light to a broad mixture of wavelengths. The pattern becomes less sharply defined away from the centre mainly because

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20. In a wave equation, the phase at a point may contain terms such as and . For these terms to be compared or subtracted, both must have the unit

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21. If the slit width in a single-slit diffraction experiment is decreased while the wavelength is kept fixed, the central maximum becomes

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22. A table shows parameter changes in Young's double-slit experiment.

Row Change made Effect on
P increased, and fixed increases
Q increased, and fixed increases
R increased, and fixed decreases
S increased, and fixed increases

The row that should be revised is

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23. Use the construction record below.

A plane wavefront is selected in a homogeneous medium. Points , , and on are used as centres of secondary wavelets. After the same time interval, the wavelets drawn from , , and have equal radii.

The equality of the wavelet radii occurs because

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24. Assertion: At the polarising angle, .
Reason: At the polarising angle, the reflected and refracted rays are perpendicular.

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25. A Young's double-slit experiment has , , and . The position of the second bright fringe from the centre is

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26. A table describes telescope resolution.

Row Change Effect on
P decreased, fixed decreases
Q increased, fixed decreases
R increased, fixed increases
S increased, fixed increases

The row that should be revised is

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27. Diffraction is most appreciable when the aperture width is

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28. White light is used in a double-slit experiment. The first-order red maximum has . For violet light of wavelength , the mathematical order value needed to appear at the same screen position is

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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. Two coherent sources illuminate a screen, but one mirror in the path vibrates irregularly. The observed fringes are likely to blur because the vibration

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31. A table lists symbols used in Young's double-slit experiment.

Row Symbol Meaning
P Separation between the two slits
Q Distance between slit plane and screen
R Distance of point from the central point on the screen
S Slit separation

The row that should be corrected is

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32. The resolving power of an optical instrument is closely connected with diffraction because

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33. A statement about reflection says, “The incident wavefront and reflected wavefront make equal angles with the reflecting surface.” This is consistent with the law because

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34. For a double-slit experiment with , , and , the distance of the first dark fringe from the central bright fringe is

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35. A Young's double-slit setup has fringe width in air. The entire space between the slits and screen is filled with a liquid of refractive index , while and remain unchanged. The new fringe width is

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36. Introducing a thin transparent sheet in front of one slit in Young's double-slit experiment mainly changes

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37. Plane-polarised light is passed through two analysers in succession. The first analyser makes with the incident vibration direction, and the second analyser is parallel to the first. If the incident intensity is , the final intensity is

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38. For a plane wavefront crossing from medium into medium , with refractive indices and , the wave-speed relation used in refraction is

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39. For a ray incident from medium into medium , the incidence angle is and the refracted angle is . If , the relation between and for ordinary refraction is

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40. In ray optics, the word “ray” mainly represents the

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41. 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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42. Two coherent beams have intensities in the ratio . The ratio is

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43. The first bright fringe in a Young's double-slit experiment is at from the centre. The fourth bright fringe on the same side is at

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44. A phase difference of between two monochromatic waves means that the waves are

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45. A claim says, “If two light waves overlap, energy is created at bright regions and destroyed at dark regions.” The better interpretation is that

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46. 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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47. A derivation note for Young's double-slit experiment contains the following steps.

Row Step
P
Q For small ,
R
S

The row that should be corrected is

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48. Two overlapping waves at a point have displacements and at the same instant. The resultant displacement is

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49. A table gives results for unpolarised light of intensity passing through ideal polarising arrangements.

Row Arrangement Final intensity
P One polariser
Q Polariser and analyser parallel
R Polariser and analyser crossed
S Polariser and analyser at

The row that should be corrected is

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50. A table connects path difference with phase difference for light of wavelength .

Row Path difference Phase difference
P
Q
R
S

The row that should be revised is

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