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If the first minima in Young's double-sl...

If the first minima in Young's double-slit experiment occurs directly in front of one of the slits (distance between slit and screen `D = 12 cm` and distance between slits `d = 5 cm)`, then the wavelength of the radiation used can be

A

`2 cm` only

B

`4 cm` ony

C

`2m,(2)/(3) cm,(2)/(5) cm`

D

`4cm,(4)/(3) cm,(4)/(5) cm`

Text Solution

Verified by Experts

The correct Answer is:
A
Notice that `d` is not very small than `D,` so we can not use `Delta=d sintheta`.
`S_(1)P-S_(2)=DeltaP=(lambda)/(2)` {`therefore` first minima}
`rArr sqrt(5^(2)+12^(2)) -(12) =(lambda)/(2) "get" lambda=2 cm`
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