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A ray is ihncident at an angle of incide...

A ray is ihncident at an angle of incidence ii on one surface of a prism of small angle A and emerge normally from opposite surface. If the refractive index of the material of prism is `mu.` the angel of incidance I is nearly equal to

A

`mu A `

B

`(mu A)/(2)`

C

`(A)/(mu)`

D

`(A)/(2 mu)`

Text Solution

Verified by Experts

The correct Answer is:
A
The ray emerges normally from the other surface.
`therefore e= 0 , r_(2) = 0` but for a prism `A = r_(1) + r_(2) therefore A = r_(1)`
Applying Snell's law for the refraction at the first surface , we get
`mu = (sin i)/(sin r_(1)) = (sin i)/(sin A) ( because A = r_(1))`
For a small angles expressed in radians sin i= i and sin A = A.
`therefore mu = (i)/(A) or i= mu A `
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