SATHEE: Ray Optics and Optical Instruments

Ray Optics and Optical Instruments - Result Question 58

61. A ray of light is incident at an angle of incidence, $i$ , on one face of prism of angle $A$ (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is $μ$ , the angle of incidence $i$ , is nearly equal to: [2012]

(a) $μ A$

(b) $\frac{μ A}{2}$

(d) $\frac{A}{2 μ}$

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Answer:

Correct Answer: 61. (a)

Solution:

(a) For normally emerge $e = 0$

Therefore $r_{2} = 0$ and $r_{1} = A$

Snell’s Law for incident ray’s

$1 \sin i = μ \sin r_{1} = μ \sin A$

For small angle

$i = μ A$

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Ray Optics and Optical Instruments - Result Question 58

61. A ray of light is incident at an angle of incidence, i, on one face of prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is μ, the angle of incidence i, is nearly equal to: [2012]

Answer:

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61. A ray of light is incident at an angle of incidence, $i$ , on one face of prism of angle $A$ (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is $μ$ , the angle of incidence $i$ , is nearly equal to: [2012]