First slide
Spherical refracting surface's
Question

A semi-cylinder made of transparent plastic has a refractive index  n = 2 and a radius of R. There is a narrow incident light ray perpendicular to the flat side of the semi cylinder at d distance from the axis of symmetry.

Moderate
Question

What can the maximum value of d be so that the light ray can still leave the other side of the semi cylinder?

Solution

sinθC=12θC=45 d=R2

Question

When the value of d chosen is such that TIR just takes place then time for which light remains inside the cylinder is:

Solution

Total distance travel in the semi cylinder =22R

Optical path travel=(22R)×2=4R 

 time =4Rc

 

Question

Distance d is now varied, so that the ray always emerges from the other side of the semi cylinder. What is the range of OB?

Solution

 Range R2 to 

Get Instant Solutions
When in doubt download our app. Now available Google Play Store- Doubts App
Download Now
Doubts App