In the figure shown, $S$ is the source of white light kept at a distance $x_0$ from the plane of the slits. The source moves with a constant speed $u$ towards the slits on the line perpendicular to th

Question

In the figure shown, $S$ is the source of white light kept at a distance $x_0$ from the plane of the slits. The source moves with a constant speed $u$ towards the slits on the line perpendicular to the plane of the slits and passing through the slit $S_1$ . Find the instantaneous velocity (magnitude and direction) of the central maxima at time $t$ having range $0 \le t \ll \frac{x_0 - d}{u}$ . Assume that $D \gg d$ .

A

$\frac{Ddu}{x_0 - ut}\text{ (downwards)}$

B

$\frac{Ddu}{2(x_0 - ut)^2}\text{ (downwards)}$

C

$\frac{2Ddu}{3(x_0 - ut)^2}\text{ (upwards)}$

D

None of these

Accepted Answer

$\frac{Ddu}{2(x_0 - ut)^2}	ext{ (downwards)}$

Answer

$\frac{Ddu}{x_0 - ut}	ext{ (downwards)}$

Answer

$\frac{2Ddu}{3(x_0 - ut)^2}	ext{ (upwards)}$

Answer

None of these

AIIMS 2018 Physics Refraction and Dispersion MCQ Question

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