1.

There is a large circle (not a screen this time) around two coherent sources S-1 and S_2 keptat 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.

Answer»


SOLUTION :(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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