Optics Question 144

Question: In Young’s double slit experiment, the intensity on the screen at a point where path difference is l is K. What will be the intensity at the point where path difference is λ/4

[RPET 1996]

Options:

A) K4

B) K2

C) K

D) Zero

Show Answer

Answer:

Correct Answer: B

Solution:

By using phase difference φ=2πλ(Δ)

For path differencel, phase difference φ1=2π and for path difference l/4, phase difference f2 = p/2. Also by using I=4I0cos2φ2

Therefore I1I2=cos2(φ1/2)cos2(φ2/2)

Therefore KI2=cos2(2π/2)cos2(π/22)=11/2

Therefore I2=K2.



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