A ray of light passing through an equilateral prism is having velocity in the prism material, then the minimum angle of deviation is

Question

A ray of light passing through an equilateral prism is having velocity $2.12 \times 10^{8} m / s$ in the prism material, then the minimum angle of deviation is ______ degrees. [2026]

Smart Achievers · Accepted Answer

(2)

$μ = \frac{\sin [\frac{δ_{\min} + A}{2}]}{\sin \frac{A}{2}}$

$μ = \frac{c}{v} = \frac{3 \times 10^{8}}{2.12 \times 10^{8}} = \sqrt{2}$

$\sqrt{2} = \frac{\sin [\frac{δ_{\min} + 60 °}{2}]}{\sin 30 °}$

$\sin [\frac{δ_{\min} + 60 °}{2}] = \frac{1}{\sqrt{2}}$

$δ_{\min} + 60 ° = 90 ° \Rightarrow δ_{\min} = 30 °$

Solution

Q.
A ray of light passing through an equilateral prism is having velocity $2.12 \times 10^{8} m / s$ in the prism material, then the minimum angle of deviation is ______ degrees. [2026]

1 45

2 30

3 28

4 58

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