Ray Optics and Optical Instruments - Result Question 59

62. For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index :

(a) lies between 2 and 1

[2012M]

(b) lies between 2 and 2

(c) is less than 1

(d) is greater than 2

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Answer:

Correct Answer: 62. (b)

Solution:

  1. (b)

(b)

The angle of minimum deviation is given as δmin =i+eA

for minimum deviation

δmin =A then

2A=i+e

in case of δmin,i=e

2A=2ir1=r2=A2i=A=90

from Snell’s law

1sini=nsinr1

sinA=nsinA2

2sinA2cosA2=nsinA2

2cosA2=n

when A=90=imin 

then nmin =2

i=A=0nmax =2



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