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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 0 and `(lamda)/(4)` respectively. The ratio of intensities at P and Q will be:

A

`2 : 1`

B

`sqrt2 : 1`

C

`4 : 1`

D

`3 : 2`

Text Solution

Verified by Experts

The correct Answer is:
A
`Deltax_(1)=0`
`Deltaphi=0^(@)`
`I_(1)=I_(0)+I_(0)+2I_(0) cos0^(@)=4I_(0)`
`Deltax_(2)=(lambda)/(4)`
`Deltatheta=(2pi)/(lambda).(lambda)/(4)=((pi)/(2))`
`I_(2)=I_(0)+I_(0)+2I_(0) cos,(pi)/(2)=2I_(0)`
`(I_(1))/(I_(2))=(4I_(0))/(2I_(0))=(2)/(1)`.
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