A ray of light travels from a light source S to an observer after reflection from a plane mirror. If the source rotates in the clockwise direction by 10^o, by what angle and in what direction the mirror should be rotated so that the light ray still strikes the observer?

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10^o anticlock wise

5^oanti clock wise

5^oclock wise

10^oclock wise

answer is C.

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Detailed Solution

When the source is rotated by 10^oclockwise, the angle of incidence is changed by 10^o.Therefore, the angle of reflection should also change by 10^o in order for the light to reach the observer. Now, the property of a plane mirror is such that, if the mirror is rotated through an angle then the angle of reflection changes by twice the angle. So, in order for the angle of reflection to change by 10^o, the mirror should be rotated by 5^o clockwise

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