two parallel plane mirrors M1 and M2 have a length of 2 metre each and at 10:00 millimetre apart A Ray of light is incident on one end of mirror M2 at an angle 30 degree the number of reflections light undergoes before reaching the other end is
Answers
Answer: there are 57.73 number of reflections light undergoes before reaching the other end
Explanation:
Given that:
There are two parallel plane mirrors M1 and M2.
Length of mirror = 2 metre
Distance between mirrors = 10mm
One Ray of light is incident on one end of mirror M2.
Angle = 30°
To find:
the number of reflections light undergoes before reaching the other end =?
Solution
It is given that the two mirrors are parallel
The light is incident on the second mirror M2 from M1 using angle 30°
We can assume that the mirror length can be given as tan theta.
It is perpendicular length and we will denote it by L
Theta = 30°
Tan 30 = 1/L
1/√3 = 1/L
Hence L = √3 cm
This is for one reflection
Hence, for 1 m length, the number of reflections will be
1m = 100cm
For 100 cm
The number of reflections will be
= 100/√3
= 57.73
Hence,
there are 57.73 number of reflections light undergoes before reaching the other end.
Answer:346
Explanation: