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 spherical wavefronts from the same point source are observed at times and , where . If the wave speed is , the increase in radius is

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2. 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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3. The distance between the first and fifth bright fringes on the same side in a Young's double-slit experiment is . The fringe width is

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4. Polarised sunglasses reduce glare because they make use of the fact that light waves can have their vibrations

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5. 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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6. When a thin sheet is placed in front of the upper slit in a symmetric Young's double-slit setup, the central bright fringe shifts

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7. 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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8. Consider the following statements about reflection of a plane wavefront at a plane surface.
Statement I: The incident ray, reflected ray, and normal lie in the same plane.
Statement II: The angle of incidence is equal to the angle of reflection.
Statement III: The reflected wavefront is drawn as the backward envelope only.

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9. Use the intensity pattern described below.

A single-slit diffraction pattern has a central maximum at . The first minima are at points and on opposite sides of . The second minima are farther out on both sides.

The width represents

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10. Total internal reflection can occur only when light tries to travel

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11. Huygens' principle states that every point on a given wavefront

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12. Use the observation below.

Unpolarised sunlight is reflected from a horizontal water surface. A pair of polaroid sunglasses reduces the reflected glare strongly when its transmission axis is vertical.

The best explanation is that the glare is

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13. Colours seen in a thin soap film in reflected light are mainly due to

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

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15. Use the arrangement described below.

Several parallel plane wavefronts are moving from left to right in a homogeneous isotropic medium. The spacing between adjacent wavefronts represents one wavelength .

The corresponding rays should be drawn

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16. Two coherent beams have intensities and . At a point, their phase difference is . The resultant intensity at that point is

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17. In a Young's double-slit experiment, light of wavelength is used. A transparent sheet of refractive index and thickness is introduced in front of one slit. The fringe pattern shifts by

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18. 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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19. A double-slit experiment has , , and . The second dark fringe from the central bright fringe is located at

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20. Combining Snell's law with the Brewster condition gives Brewster's law. The correct derivation route is

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21. A claim says, “In single-slit diffraction, a wider central maximum means a wider physical slit.” The better evaluation is that

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22. If two coherent waves have intensity ratio , the ratio of their amplitudes is

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23. 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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24. Two coherent beams have intensities in the ratio . The ratio is

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25. Which observation most directly points to the need for superposition of light waves?

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26. Constructive interference occurs at a point when the path difference between two coherent waves is

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27. A transparent medium has Brewster angle . Light of wavelength in air enters the medium. The wavelength inside the medium is

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28. Plane-polarised light of intensity first passes through an analyser at to its vibration direction and then through a second analyser at to the original vibration direction. The final intensity is

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29. Two coherent light waves have perpendicular states of polarisation when they overlap. The interference contrast is poor because

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30. For reflection at a plane surface in the same medium, if is the angle of incidence and is the angle of reflection, Huygens' construction gives

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31. A comparison table for wavefronts is shown below.

Row Wavefront type Typical source or condition
P Plane wavefront Small region very far from a source
Q Spherical wavefront Point source in a homogeneous medium
R Cylindrical wavefront Long line source in a homogeneous medium
S Plane wavefront All points are at different phases by definition

The row that should be revised is

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32. In an interference setup, very wide sources are usually avoided because they tend to

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33. 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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34. Two equal-amplitude light waves arrive at a point exactly out of phase. The resultant disturbance is zero at that point because

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35. Two monochromatic waves reach a point with phase difference . The closest phase classification is

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36. A point in a double-slit experiment receives two waves of equal intensity . The path difference is first and then is increased by . The change in resultant intensity is

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37. 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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38. Light is incident from air into glass. If , , and , the value of is

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39. For a single slit of width , the approximate angular width of the central maximum is

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40. A microscope objective has numerical aperture . The resolving power is improved by

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41. A table describes rays incident from a denser medium into a rarer medium.

Row Angle of incidence Expected result
P Refraction occurs into the rarer medium
Q Refracted ray grazes the boundary
R Total internal reflection occurs
S Refracted ray bends toward the normal in the rarer medium

The row that does not fit total internal reflection is

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42. A point on a screen receives light from two coherent sources. If one source is shifted so that its phase at the point changes by a constant amount everywhere in time, the interference pattern is expected to

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43. In single-slit diffraction, the first minimum occurs when the path difference between waves from the top and bottom edges of the slit is

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44. A single slit is illuminated by light of wavelength . If the entire setup is immersed in a liquid where the wavelength becomes , while slit width remains unchanged, the angular width of the central maximum becomes

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45. Two crossed ideal polarisers transmit no light. When a third ideal polariser is inserted between them with its axis neither parallel nor perpendicular to the first, some light may pass because

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46. For a microscope, the numerical aperture changes from to , and the wavelength changes from to . The ratio of the new limiting resolution distance to the old one is

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47. For a telescope with a circular objective of diameter , the minimum angular separation that can be resolved is approximately

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48. In the crossed-polariser arrangement with a middle polariser, maximum final transmission occurs when the middle polariser is placed at

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49. Destructive interference for two coherent waves of equal amplitude occurs when the path difference is

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50. 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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