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A narrow beam of light after reflection by a plane mirror falls on a scale at a distance 100cm from the mirror. When the mirror is rotated a little, the light spot moves through 2 cm. Then find the angle through which the mirror is rotated in radian .

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answer is 0.01.

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Detailed Solution

Angle turned by reflected ray $θ = \frac{2}{100}; θ = \frac{1}{50} rad$

$∴$ Angle turned by the mirror

$= \frac{θ}{2} = \frac{1}{100} = 0 .01 rad$

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