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Q 1. A given ray of light suffers minimum deviation in an equilateral prism {tex} P {/tex}. Additional prism {tex} Q {/tex} and {tex} R {/tex} of identical shape and of the same material as {tex} P {/tex} are now added as shown in the figure. The ray will now suffer

greater deviation

no deviation

same deviation as before

total internal reflection

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Q 2. In the adjacent diagram, {tex} C P {/tex} represents a wavefront and {tex} A O {/tex} {tex} \& B P , {/tex} the corresponding two rays. Find the condition on {tex} \theta {/tex} for constructive interference at {tex} P {/tex} between the ray {tex} B P {/tex} and reflected ray {tex} O P . {/tex}

{tex} \cos \theta = 3 \lambda / 2 d {/tex}

{tex} \cos \theta = \lambda / 4 d {/tex}

{tex} \sec \theta - \cos \theta = \lambda / d {/tex}

{tex} \sec \theta - \cos \theta = 4 \lambda / d {/tex}

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Q 3. A ray of light traveling in water is incident on its surface open to air. The angle of incidence is {tex} \theta , {/tex} which is less than the critical angle. Then there will be

only a reflected ray and no refracted ray

only a refracted ray and no reflected ray

a reflected ray and a refracted ray and the angle between them would be less than {tex} 180 ^ { \circ } - 2 \theta {/tex}

a reflected ray and a refracted ray and the angle between them would be greater than {tex} 180 ^ { \circ } - 2 \theta {/tex}

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Q 4. A light ray travelling in glass medium is incident on glass- air interface at an angle of incidence {tex} \theta . {/tex} The reflected (R) and transmitted (T) intensities, both as function of {tex} \theta , {/tex} are plotted. The correct sketch is

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Q 5. A point source {tex} S {/tex} is placed at the bottom of a transparent block of height {tex} 10 \mathrm { mm } {/tex} and refractive index {tex} 2.72 . {/tex} It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter {tex} 11.54 \mathrm { mm } {/tex} on the top of the block. The refractive index of the liquid is

{tex} 1.21 {/tex}

{tex} 1.30 {/tex}

{tex} 1.36 {/tex}

{tex} 1.42 {/tex}

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Q 6. Two convex lenses placed in contact form the image of a distant object at {tex} P . {/tex} If the lens {tex} B {/tex} is moved to the right, the image will

Move to the left

Move to the right

Remain at {tex} P {/tex}

Move either to the left or right, depending upon focal lengths of the lenses

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Q 7. The apparent thickness of a thick plano-convex lens is measured once with the plane face upward and then with the convex face upward. The value will be

More in the first case

Same in the two cases

More in the second case

Any of the above depending on the value of its actual thickness

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Q 8. Two thin lenses are placed {tex} 5 \mathrm { cm } {/tex} apart along the same axis and illuminated with a beam of light parallel to that axis. The first lens in the path of the beam is a converging lens of focal length {tex} 10 \mathrm { cm } {/tex} whereas the second is a diverging lens of focal length {tex} 5 \mathrm { cm } . {/tex} If the second lens is now moved toward the first, the emergent light

Remains parallel

Remains convergent

Remains divergent

Changes from parallel to divergent

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Q 9. A point object {tex} ^ { \prime } O ^ { \prime } {/tex} is at the centre of curvature of a concave mirror. The mirror starts to move at a speed {tex} u {/tex}, in a direction perpendicular to the principal axis. Then, the initial velocity of the image is

{tex} 2 u , {/tex} in the direction opposite to that of mirror's velocity

{tex} 2 u , {/tex} in the direction same as that of mirror's velocity

Zero

{tex} u , {/tex} in the direction same as that of mirror's velocity

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Q 10. An object is approaching a fixed plane mirror with velocity {tex} 5 \mathrm { ms } ^ { - 1 } {/tex} making an angle of {tex} 45 ^ { \circ } {/tex} with the normal. The speed of image w.r.t the mirror is

{tex} 5 \mathrm { ms } ^ { - 1 } {/tex}

{tex} 5 / \sqrt { 2 } \mathrm { ms } ^ { - 1 } {/tex}

{tex} 5 \sqrt { 2 } \mathrm { ms } ^ { - 1 } {/tex}

{tex} 10 \mathrm { ms } ^ { - 1 } {/tex}

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Q 11. Two wavelengths of light {tex} \lambda _ { 1 } {/tex} and {tex} \lambda _ { 2 } {/tex} are sent through a Young's double-slit apparatus simultaneously. If the third-order bright fringe coincides with the fourth-order bright fringe, then

{tex} \frac { \lambda _ { 1 } } { \lambda _ { 2 } } = \frac { 4 } { 3 } {/tex}

{tex} \frac { \lambda _ { 1 } } { \lambda _ { 2 } } = \frac { 3 } { 4 } {/tex}

{tex} \frac { \lambda _ { 1 } } { \lambda _ { 2 } } = \frac { 5 } { 4 } {/tex}

{tex} \frac { \lambda _ { 1 } } { \lambda _ { 2 } } = \frac { 4 } { 5 } {/tex}

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Q 12. In Young's double-slit experiment, how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe {tex} ( \lambda = 2000 \mathrm { Å} ) ? {/tex}

12

7

18

4

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Q 13. A beam of electron is used in an YDSE experiment. The slit width is {tex} d {/tex}. When the velocity of electron is increased, then

No interference is observed

Fringe width increases

Fringe width decreases

Fringe width remains same

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Q 14. A ray of light of intensity {tex} I {/tex} is incident on a parallel glass-slab at a point {tex} A {/tex} as shown in fig. It undergoes partial reflection and refraction. At each reflection {tex} 25 \% {/tex} of incident energy is reflected. The rays {tex} A B {/tex} and{tex} A ^ { \prime } B ^ { \prime } {/tex} undergo interference. The ratio {tex} I _ { \max } / I _ { \min } {/tex} is

4:1

8:1

7:1

49:1

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Q 15. If the distance between the first maxima and fifth minima of a double-slit pattern is {tex} 7 \mathrm { mm } {/tex} and the slits are separated by {tex} 0.15 \mathrm { mm } {/tex} with the screen {tex} 50 \mathrm { cm } {/tex} from the slits, then wavelength of the light used is

{tex} 600 \mathrm { nm } {/tex}

{tex} 525 \mathrm { nm } {/tex}

{tex} 467 \mathrm { nm } {/tex}

{tex} 420 \mathrm { nm } {/tex}

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