A ray of light is incident at 50o on the middle of one of the 2 mirrors arrranged at - Physics - Ray Optics And Optical Instruments

Question

A ray of light is incident at 50o​ on the middle
of one of the 2 mirrors arrranged at an angle of 60o b/w
them The ray then touches the second mirror,get reflected back to
the first mirror at an angle of incidence of

50o
60o
70o

4 80o​​

please answer the above question in detail and do solve it

Pintu B. · Accepted Answer

Dear student

the following figure show the setup
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_57e956a523f76%20jpg"
style="width: 150px; height: 113px;">

Let the light ray incident on the second mirror with an angle
α the in
∆OAB60°+90°-α+90°-50°=180°⇒α=10°
Now light ray reflected back and incident on first mirror with
angle θ then in
∆OAC60°+80°+10°+10°+90°-θ=180°⇒θ=70°
so light ray makes 70 degree angle from first mirror
Regards