Sarthaks Test
0 votes
5 views
ago in Wave Optic by (10.8k points)
closed ago by

Consider a point source emitting waves uniformly in all directions.

1. Draw two wave fronts very near to the point source.

2. Using Huygen’s principle, prove that angle of incidence is equal to angle of reflection.

3. What is the shape of a plane wave front after passing through a thin convex lens?

1 Answer

+1 vote
ago by (10.9k points)
selected ago by
 
Best answer

1.

2.

AB is the incident wavefront and CD is the reflected wavefront, ‘i’ is the angle of incidence and r’ is the angle of reflection. Let c1 be the velocity of light in the medium. Let PO be the incident ray and OQ be the reflected ray.

The time taken for the ray to travel from P to Q is

O is an arbitrary point. Hence AO is a variable. But the time to travel for a wave front from AB to CD is a constant. So eq.(2) should be independent of AO. i.e., the term containing AO in eq.(2) should be zero.

∴ \(\frac{AO}{C_1}\)(sin i - sin r) = 0

sin i – sin r = 0

sin i – sin r

i = r 

This is the law of reflection.

3. Spherical wave front.

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...