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A light ray is incident, at an incident angle $\theta_{1}$ , on the system of two plane mirrors $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$ having an inclination angle $75^{\circ}$ between them (as shown in figure). After reflecting from mirror $\mathrm{M}_{1}$ it gets reflected back by the mirror $\mathrm{M}_{2}$ with an angle of reflection $30^{\circ}$ . The total deviation of the ray will be ____________degree.

Option: 1
210

Option: 2
-

Option: 3
-

Option: 4
-

Answers (1)

best_answer

$\mathrm{\delta \rightarrow angle\: of\: deviation. }$

$\mathrm{60^{\circ}+75^{\circ}+90^{\circ}-x= 180 }$

$\mathrm{x= 45^{\circ} }$

$\mathrm{Also\: ,2x+60^{\circ}+y= 180^{\circ} }$

$\mathrm{y= 30^{\circ} }$

$\mathrm{\delta = 180^{\circ}+y= 210^{\circ} }$

The angle of deviation is $\mathrm{ 210^{\circ} }$

Posted by

Gautam harsolia

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