Question

Calculate the refractive index of an equilateral prism if the angle of minimum deviation is equal to the angle of the prism

Answer 1

Answer:

the refractive index of an equilateral prism if the angle of minimum deviation is equal to the angle of the prism is √3

Explanation:

Refractive index of prism is n = Sin (A+dm/2) / Sin A/2

here

A= 60 ° [ ∵equilateral prism ]

and

angle of minimum deviation is equal to the angle of the prism

A= dm

n= sin ( A+A / 2) / sin A/2

= sin ( 2A/2)/ sinA/2

= sin ( A)/ sin A/2

= sin 60 / sin 30

= √3/2/1/2

n=√3

Answer 2

Answer:

for an eqilateral prism A =60°

Moreover, it is given that deltam=A=60°

therefore mu = sin (A+delta m ) by 2

the whole divided by sinA

by 2

=sine(60+60)

by sin 60°

2 = by

the whole divide by sine 30°

sin 60 by 2

= root 3 by 2

by

1 by 2

= root 3

=1.732