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Question

Physics Question on Ray optics and optical instruments

A small angle prism (μ=1.62)(\mu = 1.62) gives a deviation of 4.84.8^{\circ} . The angle of prism is

A

55^{\circ}

B

6.366.36^{\circ}

C

33^{\circ}

D

7.747.74^{\circ}

Answer

7.747.74^{\circ}

Explanation

Solution

Here, μ=1.62,δ=4.8\mu=1.62, \delta= 4.8^{\circ} δ=(μ1)A \delta = \left(\mu-1\right)A or A=δ(μ1)A = \frac{\delta}{\left(\mu-1\right)} =4.8(1.621)=7.74= \frac{4.8}{\left(1.62-1\right)} = 7.74^{\circ}