Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Open MARKS Web Download App
Search any question & find its solution
Question: Answered & Verified by Expert
A ray of light incident on a transparent sphere at an angle $\pi / 4$ and refracted at an angle $r$, emerges from the sphere after suffering one internal reflection. The total angle of deviation of the ray is
PhysicsRay OpticsKVPYKVPY 2013 (SA)
Options:
  • A $\frac{3 \pi}{2}-4 r$
  • B $\frac{\pi}{2}-4 \mathrm{r}$
  • C $\frac{\pi}{4}-r$
  • D $\frac{5 \pi}{2}-4 r$
Solution:
2615 Upvotes Verified Answer
The correct answer is: $\frac{3 \pi}{2}-4 r$


$\mathrm{S}_{1}=\frac{\pi}{4}-\mathrm{r}$
$\mathrm{S}_{2}=\pi-2 \mathrm{r}$
$\mathrm{S}_{3}=\frac{\pi}{4}-\mathrm{r}$
$\mathrm{S}=\mathrm{S}_{1}+\mathrm{S}_{2}+\mathrm{S}_{3}=\frac{3 \pi}{2}-4 \mathrm{r}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play