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Q.

In a typical Young's double silt 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 as shown, then the magnitude of instantaneous velocity of central maxima is n×106 m/s  . Find the value of n.

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Detailed Solution

For central maxima (S1S2=d)
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 dyD=d2+x2x=x[1+d22x2]x=d22x y=Dd2x    dydt=Dd2x2(dxdt)=1 ×0.012×0.5×0.5×(0.001)
 
=0.02 mm per second upwards
 

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In a typical Young's double silt 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 as shown, then the magnitude of instantaneous velocity of central maxima is n×10−6 m/s  . Find the value of n.