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Question

If an object is placed symmetrically between two plane mirrors inclined at an angle of $$72^{\circ}$$, then the total number of images formed is:

A
$$5$$
B
$$4$$
C
$$2$$
D
Infinite
Solution
Verified by Toppr

Correct option is B. $$4$$
The number of images between two plane mirror inclined at an angle $$ \theta $$ when the object is placed symmetrically between the mirrors is given as
$$ n= \dfrac{360^{\circ}}{\theta} - 1 $$
Given,
$$ \theta = 72^{\circ} $$
$$ \therefore n = \dfrac{360^{\circ}}{72^{\circ}} -1 = 5 -1 = 4 $$
Hence, the correct answer is OPTION B.

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