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In a Young's double slit experiment , t...

In a Young's double slit experiment , the intensity of light at a point on the screen where the path difference is `lambda` is k units. Find the intensity at a point where the path difference is (a) `(lambda)/(4)` (b) `(lambda)/(3)` and (c) `(lambda)/(2)`

A

`K`

B

`K/4`

C

`K/2`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
(Intensity) `I. = K` when path difference `Delta x = lambda`
Phase difference , `phi = (2 pi)/(lambda) Delta x = K`
`cos phi = 1`
`I. = 2I(1 + cos phi) = 4I = K`
Phase difference , at `Delta x = lambda/4 , phi = (2pi)/lambda xx Delta x`
`= (2pi)/lambda xx lambda/4 = pi/2`
`cos phi = 0`
`I.. = 2I(I + cos phi) = 2I = 2 K/4 = K/2`
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