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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 $\theta$, the spot of the light is found to move through a distance y on the scale. The angle $\theta$ is given by
Explanation
Reflected ray turns through $2\theta$.
Detailed Solution
When the mirror is rotated by angle $\theta$, the reflected ray is rotated by $2\theta$.
$\frac{y}{x} = 2\theta \Rightarrow \theta = \frac{y}{2x}$
$\frac{y}{x} = 2\theta \Rightarrow \theta = \frac{y}{2x}$
