Two mirrors at an angle $ heta$ produce 5 images of a point. The number of images produced when $ heta$ is decreased to $30{^\circ}$ is

Question

Two mirrors at an angle $	heta$ produce 5 images of a point. The number of images produced when $	heta$ is decreased to $30{^\circ}$ is

Dr. Abubacker · Accepted Answer

(c) Number of images $= \frac{360{^\circ}}{	heta} - 1$
Where $	heta$ is in degrees, $	herefore 5 = \frac{360{^\circ}}{	heta} - 1$
or $	heta = \frac{360{^\circ}}{	heta} = 60{^\circ}$
New angle, $	heta^{'} = 	heta - 30{^\circ} = 60{^\circ} - 30{^\circ} = 30{^\circ}$
Number of images $= \frac{360{^\circ}}{30{^\circ}} - 1 = 11$

Q. Two mirrors at an angle $\theta$ produce 5 images of a point. The number of images produced when $\theta$ is decreased to $30{^\circ}$ is

Explanation

Reviewed by Dr. Abubacker

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