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A monochromatic light of lambda=5000Å is...

A monochromatic light of `lambda=5000Å` is inciden on two slits seperated by a distance of `5xx10^(-4)m.` if a thin glass of thickness `1.5xx10^(-6)` m and refractive index `1.5` placed between one of the slits and screen. The pahses difference introduced at the position of central maxima is

A

`3pi `

B

`2 pi`

C

`2pi//3`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
A
Path difference `(mu-1)t=(1.5-1)1.5xx10^(-6)`
Phase difference `=(2pi)/(lamda)xx(mu-1)t`
`=(2pixx0.5xx1.5xx10^(-6))/(5ccx10)`
`=3pi`
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