Find the value of the angle of emergence from the prism given below for the incidence ray shown. The refractive index of the glass is $\sqrt{3}$.

1. $45°$

2. $90°$

3. $60°$

4. $30°$

Subtopic:  Refraction at Plane Surface |
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A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If a parallel beam of light falling on 'A' leaves 'B' as a parallel beam, then the distance 'd ' in cm will be:

1. 50

2. 30

3. 25

4. 15

Subtopic:  Lenses |
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A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:

1. a large aperture contributes to the quality
and visibility of the images.

2. a large area of the objective ensures better
light-gathering power.

3. a large aperture provides
a better resolution.

4. all of the above.

Subtopic:  Lenses |
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A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40 cm from it, the final image would be formed at a distance of:

1. 30 cm from the plane mirror, it would be a
virtual image.

2. 20 cm from the plane mirror, it would be a
virtual image.

3. 20 cm from the lens, it would be a real image.

4. 30 cm from the lens, it would be a real image.

Subtopic:  Lenses |
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A ray is incident at an angle of incidence i on one surface of a small angle prism ( with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mathrm{\mu }$, then the angle of incidence is nearly equal to :

1. $\frac{2A}{\mu }$

2. $\mu A$

3. $\frac{\mu A}{2}$

4. $\frac{A}{2\mu }$

Subtopic:  Prisms |
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A plane-convex lens of unknown material and unknown focal length is given. With the help of a spherometer, we can measure the:

1. focal length of the lens.

2. radius of curvature of the curved surface.

3. aperture of the lens.

4. refractive index of the material.

Subtopic:  Lenses |
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An object is placed on the principal axis of a concave mirror at a distance of 1.5f ( f is the focal length). The image will be at:

1.  -3f

2. 1.5f

3. -1.5f

4.  3f

Subtopic:  Reflection at Spherical Surface |
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If the critical angle for total internal reflection from a medium to vacuum is $45°$, the velocity of light in the medium is:
1. $$1.5\times10^{8}$$ m/s
2. $$\frac{3}{\sqrt{2}}\times10^{8}$$ m/s
3. $$\sqrt{2}\times10^{8}$$ m/s
4. $$3\times10^{8}$$ m/s

Subtopic:  Total Internal Reflection |
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The power of a biconvex lens is 10 dioptre and the radius of curvature of each surface is 10 cm. The refractive index of the material of the lens is:

1.  $\frac{4}{3}$

2.  $\frac{9}{8}$

3.  $\frac{5}{3}$

4.  $\frac{3}{2}$

Subtopic:  Lenses |
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Pick the wrong statement in the context with a rainbow.

1. Rainbow is a combined effect of dispersion, refraction, and reflection of sunlight.

2. When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed.

3.  The order of colours is reversed in the secondary rainbow.

4. An observer can see a rainbow when his front is towards the sun.

Subtopic:  Reflection at Plane Surface |
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