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In Young's double-slit experiment, the p...

In Young's double-slit experiment, the point source is placed slightly off the central axis shown in Fig. 2.45.(`lambda`=500 nm)
a. Find the nature and order of the interference at point P.
b. Find the nature and order of the interference at point. O.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) The optical path difference between the two
waves arriving at P is
`Deltax = (y_1d)/(D_1) + (y_2d)/(D_2)`
` = ((1)(10))/10^3 + ((5)(10))/(2xx10^3)`
` = 3.5 xx 10^-2 mm = 0.035 mm`
As, `Deltax = 70 lambda`
`:.` 70th order maxima is obtained at P.
(b) At O, `Deltax = (y_1d)/D_1 = 10^(-2) mm `
= 0.01 mm
As `Delta x = 20 lambda`
`:.` 20 th order maxima is obtained at O.
(c) `(mu -1)t = 0.01 mm `
`:. t = (0.01)/(1.5 -1) = 0.02 mm = 20 mum `
Since, the pattern has to be shifted upwards, therefore, the film must be placed in front of `S_1` .
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