What is the refractive

Question -

What is the refractive index of a prism whose angle A = `60^circ` and angle of minimum deviation `d_m = 30^circ`?

Options:

A . `sqrt(2)`

B . `1/sqrt(2)`

C . 1

D . `1/sqrt(3)`

Answer: Option A

Refractive index of prism

`mu = (sin((A + delta_m)/(2)))/(sin( A/2))`

=`( sin( (60^circ + 30^circ)/(2)))/(sin((60^circ)/(2)))`

= `(sin 45^circ)/(sin 30^circ)`

= `(1/sqrt(2))/(1/2)`

= `1/sqrt(2) xx 2/1`

=` sqrt(2)`

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