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Questions 57 and 58 are based on following paragraph : Aglass plate 12 xx 10^(-4) mm. Thick is placed in the path of one of the interfering beams in a biprism experiment using wavelength 600 Å 57. The central band shifts a distance equal to width of the band, then refractive index of glass plate is

Answer»

`1.5`
`1.48`
`1.45`
`1.54`

Solution :If `DELTA` is shift,
then `delta = (mu_(g) -1)t.(D)/(d)`
Band width =` (LAMBDA.D)/(2d)`
`THEREFORE (mu_(g) -1)t.(D)/(d) = (lambdaD)/(d)`
`therefore (mu_(g) - 1) = (lambda)/(t) , mu_(g) = (lambda)/(t) + 1 = (lambda + t)/(t)`
Then `mu_(g) = 1.5` after calculations.


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