In a typical Young's double slit experiment a point source of monochromatic light is kept as shown in the figure. If the source is given an instantaneous velocity v = 1 mm per second towards the

Question

In a typical Young's double slit experiment a point source of monochromatic light is kept as shown in the figure. If the source is given an instantaneous velocity $v = 1 mm$ per second towards the screen, then the instantaneous velocity of central maxima is given as $α \times 1 0^{- β} cm / s$ upward in scientific notation. Find the value of $α + β$ .

YDSE with point source offset 0.5 cm, 50 cm from slits, screen at D = 1 m

TestHub · Accepted Answer

Source offset y = 0.5 cm , distance to slits x = 50 cm , D = 100 cm Central maximum position: Y = x yD ​ d t d Y ​ = x 2 yD ​ ( − d t d x ​ ) v CM ​ = 5 0 2 0.5 × 100 × 0.1 ​ = 2 × 1 0 − 3 cm/s α = 2 , β = 3 α + β = 5

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