Optics Question 137

Question: In the adjacent diagram, CP represents a wavefront and AO & BP, the corresponding two rays. Find the condition on q for constructive interference at P between the ray BP and reflected ray OP

[IIT-JEE (Screening) 2003]

Options:

A) cosq = 3l/2d

B) cosq = l/4d

C) secq ? cosq = l/d

D) secq ? cosq = 4l/d

Show Answer

Answer:

Correct Answer: B

Solution:

PR = d

Therefore PO = d secq and CO = PO cos 2q =dsecθcos2θ is Path difference between the two rays D = CO + PO = (d secq + d secq cos 2q)

Phase difference between the two rays is f = p (One is reflected, while another is direct)

Therefore condition for constructive interference should be Δ=λ2,3λ2 or dsecθ(1+cos2θ)=λ2 or dcosθ(2cos2θ)=λ2

Therefore cosθ=λ4d



NCERT Chapter Video Solution

Dual Pane