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Two identical narrow slits S(1) and S(2)...

Two identical narrow slits `S_(1)` and `S_(2)` are illuminated by light of wavelength `lambda` from a point source P. If, as shown in the diagtam above the light is then allowed to fall on a scree, and if n is a positive integer, the condition for destructive interference at Q is that

A

`(l_(1)-l_(2))=(2n+1)lambda//2`

B

`(l_(3)-l_(4))=(2n+1)lambda//2`

C

`(l_(1)+l_(2))-(l_(2)+l_(4))`

D

`(l_(1)+l_(3))-(l_(2)+l_(4))=(2n+1)lambda//2`

Text Solution

Verified by Experts

The correct Answer is:
D
Path difference=`(l_(1)+l_(3))-(l_(2)-l_(4))`
for distructive interfernce
Path difference =`(2n+1)lambda//2`
from(1)&(2)
`(l_(1)+l_(3))-(l_(2)-l_(4))=(2n+1)lambda//2`
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