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In a Young’s double slit experiment, each of the two slits A and B, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8mm. The distance between the slits at time t is given by $d = (0.8 + 0.04 \sin ω t) m m . ω = 0.08 r a d s^{- 1}$ The distance of the screen from the slits is 1m and the wavelength of the light used to illuminate the slits is $6000 \overset{0}{A}$ . The interference pattern on the screen changes with time, while the central bright fringe (zeroth fringe) remains fixed at point O. Find the maximum speed in $μ m / \sec$ at which 6^th bright fringe will move

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Detailed Solution

$y = \frac{6 λ D}{(0.8 + 0.04 \sin ω t)} \times 10^{3} v = \frac{d y}{d t}$

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