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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 L. 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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y/x

x/y

y/2x

x/2y

answer is B.

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Detailed Solution

When mirror is turned through angle ' $θ$ ', the image is difflected through $2 θ$ .
$2 θ = \frac{Arc}{radius} = \frac{y}{x} (or) θ = \frac{y}{2 x}$

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