KCET · Physics · Ray Optics
A certain prism is found to produce a minimum deviation of \( 38^{\circ} . \) It produces a deviation of \( 44^{\circ} \)
when the angle of incidence is either \( 42^{\circ} \) or \( 62^{\circ} \). What is the angle of incidence when it is
undergoing minimum deviation?
- A 49
- B \( 30^{\circ} \)
- C \( 60^{\circ} \)
- D \( 40^{\circ} \)
Answer & Solution
Correct Answer
(A) 49
Step-by-step Solution
Detailed explanation
(A)
\( D=38^{\circ} \)
\( i=\frac{A+D}{2} \)
\( d=\left(i_{1}+i_{2}\right)-A \)
\( 44-(104)=-A \)
\( \therefore A=60^{\circ} \)
\( \therefore i=\frac{60+38}{2}=\frac{98}{2} \)
\( i=49^{\circ} \)
\( D=38^{\circ} \)
\( i=\frac{A+D}{2} \)
\( d=\left(i_{1}+i_{2}\right)-A \)
\( 44-(104)=-A \)
\( \therefore A=60^{\circ} \)
\( \therefore i=\frac{60+38}{2}=\frac{98}{2} \)
\( i=49^{\circ} \)
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