Question

A thin prism of 40 degree gives a deviation of 2.4 degree. What is the refractive index of material of prism ?

Answer 1

Answer:

1.06

Explanation:

deviation=angle of prism(refractive index-1)

2.4=40(n-1)

n-1=0.06

n=1.06

Answer 2

The refractive index of material of prism is 1.06.

Explanation:

Given that,

Angle of prism, A = 40 degrees

Angle of deviation, $\delta=2.4^{\circ}$

We need to find the refractive index of material of prism. We know that the relation between angle of deviation, prism angle and the refractive index is given by :

$\delta =A(\mu -1)$

$\mu$ is the refractive index of material of prism

$\mu=\dfrac{\delta }{A}+1\\\\\mu=\dfrac{2.4}{40}+1\\\\\mu=1.06$

So, the refractive index of material of prism is 1.06. Hence, this is the required solution.

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