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In Young's experiment, two coherent sour...

In Young's experiment, two coherent sources are placed 0.9 mm apart and fringe are observed one meter away. If it produces second dark fringe at a distance of 1 mm from central fringe, the wavelength of monochromatic light used would ......

A

`60xx10^(-4) cm`

B

`10xx10^(-4) cm`

C

`10xx10^(-5) cm`

D

`6xx10^(-5) cm`

Text Solution

Verified by Experts

The correct Answer is:
D
For dark fringe,
`x=(2n-1)(lambdaD)/(2d)`
`:. lambda=(2xd)/((2n-1)D)=(2xx10^(-3)xx0.9xx10^(-3))`
`(2xx2-1)xx1)`
`lambda=0.6xx10^(-6) m`
`:. =6xx10^(-5) cm`
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