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In a biprism experiment, using monochrom...

In a biprism experiment, using monochromatic light. Fringes are obtained on a screen placed at a distance D from the slits. Separated by 1mm. If the screen is moved through 5 cm towards the slits, the fringe width changes by 0.03 mm. what is the wavelength of light used?

A

6000 Å

B

5500 Å

C

5000 Å

D

4500 Å

Text Solution

Verified by Experts

The correct Answer is:
A
`X_(1)X_(2)=(lamda)/(d)(D_(1)-D_(2))`
`therefore lamda=((X_(1)-X_(2))d)/((D_(1)-D_(2)))=(3xx10^(-5)xx10^(-3))/(5xx10^(-2))`
`=0.6xx10^(-6)m`
`=6xx10^(-7)m=6000 ` Å
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