A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describes best the image formed of an object of height 2 cm placed 30 cm from the lens?

(a) Virtual, upright, height=0.5 cm

(b) Real, inverted, height=4 cm

(c) Real, inverted, height=1 cm

(d) Virtual, upright, height=1 cm

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Which of the following is not due to total internal reflection?

(a) Difference between apparent and real depth of a pond

(b) Mirage on hot summer days

(c) Brilliance of diamond

(d) Working of optical fibre

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Total internal reflection
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A thin prism of angle 15° made of glass of refractive index μ1=1.5 is combined with another prism of glass of refractive index μ2=1.75. The combination of the prism produces dispersion without deviation. The angle of the second prism should be 

(a) 7°                                              (b) 10°

(c) 12°                                             (d) 5°

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A converging beam of rays is incident on a diverging lens. Having passed though the lens the rays intersect at a point 15cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5cm closer to the lens. The focal length of the lens is:

(a) -10cm                                   (b) 20cm

(c) -30cm                                   (d) 5cm

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A ray of light traveling in a transparent medium of refractive index μ falls, on a surface separating the medium from the air at an angle of incidence of 45°.For which of the following value of μ the ray can undergo total internal reflection?

(a) μ=1.33                             (b) μ=1.40

(c) μ=1.50                             (d) μ=1.25

Concept Questions :-

Total internal reflection
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A lens having focal length f and aperature of diameter d forms an image of intensity I. Aperture of diameter d2 in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively

(a) f and 14                                      (b) 3f4and I2

(c) f and 3I4                                     (d) f2and I2

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The speed of light in media M1 and M2 is 1.5×108 m/s and 2.0×108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is

(a) equal to sin-123

(b) equal to or less than sin-135

(c) equal to or greater than sin-134

(d) less than sin-123

Concept Questions :-

Total internal reflection
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A ray of light is incident on a 60° prism at the minimum deviation position. The angle of refraction at the first face (ie, incident face) of the prism is 

(a) zero                                             (b) 30°

(c) 45°                                               (d) 60°

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Two thin lenses of focal length f1 and f2 are in contact and coaxial. The power of the combination is 

(a) f1f2                    (b) f2f1

(c) f1-f2f1f2                (d) f1+f2f1f2

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A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 ×109 m and its mean distance from the earth is 1.5×1011 m. What is the diameter of the sun's image on the paper?

(a) 9.2×10-4 m

(b) 6.5 × 10-4 m

(c) 6.5×10-5m

(d) 12.4×10-4 m

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