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In a Young’s double slit experiment a mo...

In a Young’s double slit experiment a monochromatic light whose wavelength is l strikes on the slits, separated by distance d, as shown in the figure. Refractive index of the medium between slits and screen varies with time t as n = n0 + kt. Here n0 and k are positive constants. Position of any point P on screen is measure by its y-coordinate as shown.

The velocity of central maxima at any time t as a function of time t is

A

`(-2kD sin phi)/((n_(0)+kt)^(2))`

B

`(-kD sin phi)/((n_(0)+kt)^(2))`

C

`(-2kD sin phi)/((n_(0)+kt))`

D

`(-kD sin phi)/((n_(0)+kt))`

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