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The ratio of the intensity at the centre...

The ratio of the intensity at the centre of a bright fringe to the intensity at a point one-quarter of the distance between two fringe from the centre is

A

2

B

`1//2`

C

4

D

16

Text Solution

Verified by Experts

The correct Answer is:
A
Intensity (I) = `4I_(0) cos^(2)(phi)/(2)`
At central position, `I_(1)= 4I_(0)`
`Deltaphi= 2pi xx (1)/(4) = (pi)/(2)` radian
`I_(2)= 4I_(0) cos^(2)((pi)/(4))= 2I_(0)`
`:. (I_(1))/(I_(2))= (4I_(0))/(2I_(0))= 2`
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