1.

In double slit pattern (lambda = 6000 Å), the zero order and tenth order maxima fall at 12.34 mm and 14.73 mm from a particular reference point. If lambda is changed to 5000 Å, find the position of zero order and tenth order fringes, other set up being same :

Answer»

`6.2 mm`
`14.53 mm`
`7.2 mm`
94 mm

Solution :`beta = (14.73 - 12.34)/(10) = 0.239 mm, beta = (lambdaD)/(d)`
`THEREFORE 0.239 xx 10^(-3) = (6000 xx 10^(-10)D)/(d)`
or `(D)/(d) = 398.3`
When `lambda. = 5000 Å`
`beta. = (lambda.D)/(d) = 0.219 mm`.
The zero ORDER fringe will OCCUR at same position, at 12.34 mm. The 10th order at
`12.34 + 10 xx 0.219= 14.53 mm`.


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