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Question: Answered & Verified by Expert
In Young's double slit experiment, the intensity on the screen at a point where path difference \( \lambda \) is \( \mathrm{K} \). What will be the intensity at the point where path difference is \( \frac{\lambda}{4} \) :
PhysicsWave OpticsJEE Main
Options:
  • A \( \frac{K}{4} \)
  • B \( \frac{K}{2} \)
  • C \( \mathrm{K} \)
  • D Zero
Solution:
2882 Upvotes Verified Answer
The correct answer is: \( \frac{K}{2} \)
By using phase difference ϕ=2πλΔ
For path difference λ ,
Phase difference ϕ1=2π and for path difference λ4 , phase difference ϕ2=π2 .
Also by using I=4I0cos2ϕ2
I1I2=cos2ϕ12 cos2ϕ22 
KI2=cos22π2 cos2π2=112
I2=K2 

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