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In young's experiment, fringes are obtai...

In young's experiment, fringes are obtained on a screen placed at a distance of 75 cm from the slits. If the separation of the narrow slits is doubled, the fringe width is decreased.
Through what distance the screen should be moved, in order to restore the spacing of the fringes?

A

Through 150 cm, away from the slits

B

Through 50 cm, towards the slits

C

Through 75 cm, away from the slits

D

Through 25 cm, towards the slits.

Text Solution

Verified by Experts

The correct Answer is:
C
`X=(lamdaD)/(d)" "because Xprop(1)/(d) and X propD`
If d becomes 2d, X will be `X/2` to restore the width i.e. to make it. `X=2((X)/(2))`, the distance should be made 2D
`therefore D=150cm`
`therefore`Move the screen through 75 cm away from the slits.
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