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Consider a Young's double slit experimen...

Consider a Young's double slit experiment as shown in figure. What would be the slit separation d in terms of wavelength `lamda` such that the first minima occurs directly in front of the `(S_(1))` ?

A

`(lambda)/((sqrt(5)-2))`

B

`(lambda)/(2(sqrt(5)-2))`

C

`(lambda)/((5-sqrt(2)))`

D

`(lambda)/(2(5-sqrt(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
`S_(1)P=2d, S_(2)P=sqrt(4d^(2)+d^(2))=sqrt(5)d`
`S_(2)P-S_(1)P=(sqrt(5)-2)d`
`(lambda)/(2)= (sqrt(5)-2)d`
`d=(lambda)/(2(sqrt(5)-2))`
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