1.

In Young's double slit experiemnt using monochromatic light, fringe pattern shifts by a certain distance on the screen when a mica sheet of refractive index 1.6 and thickness 1.964 mm is introduced in the path of one of the twao waves.If now mica sheet is removed and distance between slit and screen is doubled, distance between successive max. or min. remains unchanged.The wavelength of the monochromatic light used in the experiment is :

Answer»

`4000 Å`
`6500 Å`
`5892 Å`
`6071 Å`

SOLUTION :`(xd)/(D) = (MU - 1) t`
`therefore x = ((mu - 1)t.D)/(d)`
Also fringe width,
`alpha = (2 lambda D)/(d)`
As `alpha = x`
`therefore (2lambda D)/(d) = ((mu - 1)t.D)/(d)`
or `lambda = ((mu - 1)t)/(2) = 5892 Å`


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