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There is a large circle (not a screen th...

There is a large circle (not a screen this time) around two coherent
sources `S_1` and `S_2` kept at a distance `d = 3.4 lambda`.

(a) Find total number of maximas on this circle.
(b) Four angular positions corresponding to third order maxima on this circle.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) Since, radius of circle `ltltd`, therefore we can apply
`Deltax= d cos theta`
Corresponding to given figure
`(Deltax)_min = 0` at `theta = 90^(@)`
` (Deltax)_max = d = 3.4lambda` at `theta =0^(@).`
Corresponding to third order maxima, At `P_(1`)
` Deltax = 3lambda `
or ` d cos theta = 3lambda `
or ` 3.4 cos theta = 3lambda`
` :. theta = (cos^-1)(3/3.4)`
Four angular positions are as shown in figure.
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