A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source I. When the mirror is rotated through a small angle $θ$ the spot of the light is found to move through a distance y on the scale. The angle $θ$ is given by.

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$\frac{y}{x}$

$\frac{x}{2 y}$

$\frac{x}{y}$

$\frac{y}{2 x}$

answer is D.

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Detailed Solution

When mirror is rotated by angle $θ$ reflected ray will be rotated by 2 $θ$ .

$\frac{y}{x} = 2 θ \Rightarrow θ = \frac{y}{2 x}$

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