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In the figure shown S is the saurce of w...

In the figure shown S is the saurce of white light kept at a distance `x_(0)` frorn the plane of the slits. The source moves with a constant specd u towards the slits on the line perpendicular to the plane of the slits and passing through the slit `S_(1)`. Find the instanteneous velocity (magnituce and direction). of the central maxima at time t having range `0 le t lt lt (x_(0)-d)/(u)`. Assume that `D gt gt d`.

Text Solution

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`tan theta=(d)/(2x) and y_(0)=D tan theta=D.(d)/(2x)`
`v_0=(dy_(0))/(dt)=(-Dd)/(2x^2).dx/dt Rightarrow v_(0)=(Dd)/(2x^(2)). u" "V_(0)=(Ddu)/(2(x_(0)-ut)^(2))("downwards")`
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