Question

A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of 300∘. The number of observable images are (Formula for number of images is 360θ−1, where θ is the angle between the mirrors.)

A
15
B
12
C
11
D
13

Solution

The correct option is D 11Given: Angle of deviation, δ=300∘ We know that, the angle of deviation when the ray is successively reflected by two plane mirrors is given by, δ=360∘−2θ, where θ is the angle between the mirrors.  ⇒300∘=360∘−2θ ⇒θ=360∘−300∘2=30∘ 30∘ is the angle at which both mirrors are inclined. So, n=360∘θ=360∘30∘=12 As n is even, hence, the number of images,  =n−1=12−1=11Physics

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