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Pulfrich refractometer is used to measur...

Pulfrich refractometer is used to measure the refractive index of solids and liquid. It consist of right angled prism. A having its two faces perfectly plane. One of the face is horizontal and the other is vertical as shown is figure. The solid B whose refractive index is to be determined is taken having two faces cut perpendicular to one another. Light is incident in a direction parallel to the horizontal surface so that the light entering the prism A is at critical angle C. Finally, it emerges from the prism at an angle i. Let the refractive index of the solid be `mu` and that of the prism A be `mu_(0)` (which is known). Here `mu_(0)gtmu` and by measuring i, `mu` can be determinged.

Q. Refractive index of the solid `(mu)` in terms of `mu_(0)` and i is

A

`1.21`

B

`sqrt2`

C

1

D

`sqrt3//2`

Text Solution

Verified by Experts

The correct Answer is:
C
If ray just fails to emerge, `I = 90^(@),` given `mu_(0) = sqrt2`
`mu = sqrt ( (sqrt2) ^(2) - sin ^(2) 90^(@) ) =1`
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