Question

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Updated on : 2022-09-05

Solution

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Correct option is D)

**Hint: **Here, we have to apply the concept of angle of deviation

**Solution:**

**Step1: Draw free body diagram**

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**Step2: Apply given conditions **

According to free body diagram,

i=Angle of incident, A=Small angle of
prism & µ=Refractive index of material

Assume, e= angle of emergence

given that, the incident ray emerges normally from the opposite surface,

Hence, $∠e=0.....(1)$

**Step3: Find angle of deviation**

We know the angle of deviation ($δ$) can be,

$δ=(μ−1)A.....(2)$

In case of prism, we know that, sum of small
angle of prism & angle of deviation in a prism is equal to the sum of angle
of incidence and angle of emergence. So, we get,

$δ+A=i+e.....(3)$

Submit values from equation (1) & (2) in
equation (3) we get,

$(μ−1)A+A=i+0$

$⇒μA−A+A=i$

$⇒μA=i$ or $i=μA$

**Hence, option (D) is correct.**

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