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At two point P and Q on screen in Young'...

At two point P and Q on screen in Young's double slit experiment, waves from slits `S_(1)` and `S_(2)` have a path difference of `2lamda` and `(lamda)/(4)` respectively. The ratio of intensities at P and Q will be:

A

`3:2`

B

`2:1`

C

`sqrt(2):1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
At `P:Deltax=0,Deltaphi=(2pi)/(lamda)xx0=0`
`I_(P)=(sqrt(I)+sqrt(I))^(2)=4I`
at `Q:Deltax=(lamda)/(4)`
`I_(Q)=I+I+2sqrt(II)cos((pi)/(2))=2I,(I_(P))/(I_(Q))=(4I)/(2I)=(2)/(1)`
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