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 `alphaxx10^(-beta)cm//s` upward in scientific notation find the value of `alpha+beta`
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The central maxima `(dy)/(D)=sqrt(d^(2)+x^(2))-x=x[1+(d^(2))/(2x^(2))]-x=(d^(2))/(2x)` `y=(Dd)/(2x)implies(dy)/(dt)=-(Dd)/(2x^(2))((dx)/(dt))=((1xx0.01)/(2xx0.5xx0.5))xx(0.001)=0.02mm//s` `impliesy=2xx10^(-3)cm//simpliesalpha+beta=5`
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