Question

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2.
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Answer (Detailed Solution Below)

Option 4 : $37.2^{\circ}$ / $37.2^{\circ}$

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Detailed Solution

सही उत्तर $37.2^{\circ}$ / $37.2^{\circ}$ है।

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Question:

A prism of refracting angle $60^{\circ}$ is made of glass of refractive index $1.5$. The angle of minimum deviation for this prism is approximately: / $60^{\circ}$ अपवर्तक कोण का प्रिज़्म $1.5$ अपवर्तनांक के काँच का बना है। इस प्रिज़्म के लिए न्यूनतम विचलन कोण लगभग है:

1.
$30^{\circ}$ / $30^{\circ}$
2.
$32.4^{\circ}$ / $32.4^{\circ}$
3.
$35.8^{\circ}$ / $35.8^{\circ}$
4.
$37.2^{\circ}$ / $37.2^{\circ}$

Correct Answer: $37.2^{\circ}$ / $37.2^{\circ}$

$\mu = \sin[(A+\delta_m)/2]/\sin(A/2)$ gives $\sin[(60^{\circ}+\delta_m)/2] = 1.5 \times \sin 30^{\circ} = 0.75$, so $(60^{\circ}+\delta_m)/2 = 48.6^{\circ}$ and $\delta_m \approx 37.2^{\circ}$. / $\mu = \sin[(A+\delta_m)/2]/\sin(A/2)$ से $\sin[(60^{\circ}+\delta_m)/2] = 1.5 \times \sin 30^{\circ} = 0.75$, अतः $(60^{\circ}+\delta_m)/2 = 48.6^{\circ}$ और $\delta_m \approx 37.2^{\circ}$।

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