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Two plane mirrors at an angle produces $5$ images of point. What is the number of images produced when $x °$ is decreased to $(x - 30) °$ ?

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9

10

11

12

answer is C.

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Detailed Solution

The number of images formed is

11

.
A plane mirror is a planar reflective surface. When two plane mirrors are tilted by an angle θ, the number of images generated by them is given by the formula:

n = \frac{360}{θ} - 1

The number of images formed,

n = 5

Then,

5 = \frac{360}{x} - 1

\Rightarrow \frac{360}{x} = 6

\Rightarrow x = 60 °

If the angle is changed from

x °

(x - 30) °

, the number of images formed will be:

n = \frac{360}{x - 30 °} - 1

= \frac{360}{30 °} - 1

= \frac{360 ° - 30 °}{30 °}

= 11

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