Light incident normally on a plane mirror attached to a galvenometer coil reflects backward as shown in figure. A current in the coil produes a deflection of `3.5^(@)` if the mirror. The displacement of the reflected spot of light on a screen placed `1.0 m` away is A. `27.5 m`B. `48.9 cm`C. `24.5 cm`D. `12.2 m`

Light incident normally on a plane mirror attached to a galvenometer c

1.	Light incident normally on a plane mirror attached to a galvenometer coil reflects backward as shown in figure. A current in the coil produes a deflection of `3.5^(@)` if the mirror. The displacement of the reflected spot of light on a screen placed `1.0 m` away is A. `27.5 m`B. `48.9 cm`C. `24.5 cm`D. `12.2 m`
Answer» Correct Answer - C Angle of deflection is `theta = 3.5^(@)`, Distance between the screen and the mirror is `= 2.0 m` The reflected rays gets deflected by an amount twice the angle of deflection , i.e., `2theta = 7.0^(@) :. tan 2 theta = d/2` `rArr d = 2 xx tan 7^(@)= 2 xx 0.1227 = 0.245 m = 24.5 cm`

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