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Intensity at centre in YDSE is l(0) if o...

Intensity at centre in YDSE is `l_(0)` if one slit is covered. Then intensity at centre will be

A

`2I`

B

`5I`

C

`(5+2sqrt(2))I`

D

`(5+4sqrt(2))I`

Text Solution

Verified by Experts

The correct Answer is:
A
Location of the point `y=omega/4=(lambdaD)/(4d)`
`rArr Deltax=(yd)/D=lambda/4`
`rArr phi=(2pi)/lambda.Deltax=pi/2`
`because I_(R)=I_(1)+I_(2)+2sqrt(I_(1)I_(2))cosphi`
`:. 4I=2I+I_(2)+0`
`rArr I_(2)=2I`
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