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Question

The fraunhofer diffraction pattern of a single slit is formed at the focal plane of a lens of focal length f. The distance between 1st and 2nd maxima on screen is y and a is slit width. Then the wave length of light used is 


Your Answer
A
ay3f
Your Answer
B
3fya
Your Answer
C
2fay
Correct Answer
D
ayf

Solution

The correct option is D ayf
For nth maxima, distance on screen from central maximum is yn=nfλa
For n=1
y1=λfa
For n=2
y2=2λfa
y=y2y1=2λfaλfa
y=λfa
so λ=ayf

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