Optics Question 155

Question: In Young’s double slit experiment how many maxima’s can be obtained on a screen (including the central maximum) on both sides of the central fringe if $ \lambda =2000{AA} $ and $ d=7000{AA} $

Options:

A) 12

B) 7

C) 18

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

For maximum intensity on the screen $ d\sin \theta =n\lambda \Rightarrow \sin \theta =\frac{n\lambda }{d}=\frac{n(2000)}{7000}=\frac{n}{3.5} $

Since maximum value of $ \sin \theta $ is 1 So $ n=0,1,2,3, $ only.

Thus only seven maximas can be obtained on both sides of the screen.



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