Question

A Ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of 300 degrees .the number of observable images is

Answer 1

ô=360°-2θ
⇒300°=360°-2θ
⇒θ=30°
∴no of images formed is 
n=(360°/θ)-1
⇒n=(360°/30°)-1
⇒n=11
∴ no of images formed =11

Answer 2

Number of observable images are 11.

Given:

The deviation is of 300 degrees for the ray after reflection from two plane mirrors.  

Solution:

Inclination Angle of the two mirrors is at a certain angle.  

Formula for deviation $= 360-2 \theta$

Deviation = 300  

$\begin{array}{l}{300=360-2 \theta} \\ {\theta=\frac{60}{2}} \\ {\theta=30 \text { degree.}}\end{array}$

The number of images $= \left(\frac{360}{\theta}\right)-1$

Number of images $= \left(\frac{360}{30}\right)-1$

Number of images = 12 – 1 = 11.