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In a Young's experiment, two coherent so...

In a Young's experiment, two coherent sources are placed 0.90 mm apart and the fringes are observed one metre away. If it produces the second dark fringe at a distance of 1 mm from the central fringe, the wavelength of monochromatic light used would be:

A

`6 xx 10^(-7) cm `

B

`1 xx 10^(-7) cm `

C

`10 xx 10^(-5) cm `

D

`6 xx 10^(-5) cm`

Text Solution

Verified by Experts

The correct Answer is:
D
Distance of `2^(nd)` dark fringe from central fringe `(x_2) = (3 lambdaD)/(2d)`
`implies 1 xx 10^(-3) = (3 xx lambda xx 1)/(2 xx 0.9 xx 10^(-3))`
`implies lambda = 6 xx 10^(-7) m = 6 xx 10^(-5) cm`
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