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Q.

A double slit with distance between slits 'd' is kept parallel to a large screen. Screen lies at a distance D from the double slit. One of the slits is covered with a transparent and very thin slab as shown in figure. Refractive index of slab varies with time according to relation μ=32(1+cos22πt). The complete set up is situated in air (μair1). At the double slit is illuminated with a parallel beam of monochromatic light of wavelength λ as shown below and continues to fall for a very long time. Thickness of slab is equal to wavelength of light incident on the slits. Intensity of falling beam is I0. Assume that d<<D.

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a

Maximum speed of central maxima along the screen is  πλDd

b

Maximum distance of central maxima from O is 2λDd

c

Maximum distance of central maxima from O is λDd

d

Maximum speed of central maxima along the screen is 3πλDd

answer is B, C.

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Detailed Solution

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y=(μ1)tDd=(12+32cos22πt)tDd       ymax=2tDd     V=dydt=322π(sin4πt)tDd       Vmax=3πtDd

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