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.  43

2.  98

3.  53

4.  32

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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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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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 3.

      

1. 45°

2. 90°

3. 60°

4. 30°

Subtopic:  Refraction at Plane Surface |
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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 biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is:
1. infinity
2. +2 D
3. +20 D
4. +5 D
Subtopic:  Lenses |
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A light ray falls on a glass surface of refractive index \(\sqrt{3}\), at an angle of 60°. The angle between the refracted and reflected rays would be:
1. 120°
2. 30°
3. 60°
4. 90° 
Subtopic:  Refraction at Plane Surface |
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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 × 108 m/s and 2.0 × 108 m/s, respectively. The critical angle for a ray of light for these two media is:
1. tan-1 (0.750)
2. sin-1 (0.500)
3. sin-1 (0.750)
4. tan-1 (0.500)
Subtopic:  Total Internal Reflection |
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