A ray of monochromatic light suffers minimum deviation of 38^o wh… - Vidyadip

MCQ

A ray of monochromatic light suffers minimum deviation of ${38^o}$ while passing through a prism of refracting angle ${60^o}$. Refractive index of the prism material is

✓
$1.5$
B
$1.3$
C
$0.8$
D
$2.4$

✓

Answer

Correct option: A.

$1.5$

a
(a) $\mu = \frac{{\sin \frac{{A + {\delta _m}}}{2}}}{{\sin \frac{A}{2}}}$$ = \frac{{\sin \frac{{60 + 38}}{2}}}{{\sin \frac{{60}}{2}}}$
$ = \frac{{\sin {{49}^o}}}{{\sin {{30}^o}}}$$ = \frac{{0.7547}}{{0.5}} = 1.5$.

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