In the Young's experiment, when a plate of thickness `lambda` and refractive index of 1.5 is introduced in path of beam the intensity at the position where central maximum occurred previously remained unchanged. The minimum thickness of glass plate is ...... I

Options

A. `2lambda`
B. `lambda`
C. `(lambda)/(3)`
D. `(2lambda)/(3)`

Answer

A

Explanation

Thicknes of plane `d=(mlambda)/(n-1)`
Here `m=1 and n=1.5`
`d=(lambda)/(1.5-1)=(lambda)/(0.5)=2lambda`
`:.d=2lambda`