1.

Two coherent light sources A and B with separation 2 lamdaare placed on the x-axis symmetrically about the origin. They emit light of wavelength lamda. Obtain the positions of maxima on a circle of large radius, lying in the x-y plane and with centre at the origin.

Answer»

Solution :
For P to have maximum intensity, d cos `theta =n lamda`
`2 lamda cos theta = n lamda RARR cos theta =n/2 ` where n is integer
For `n = 0, theta =90^@ , 270^@`
`n= pm 1, theta =60^@ , 120^@ , 240^@, 300^2`
`n = pm2, theta =0^@ , 180^@`
So, POSITIONS of MAXIMA are at
`theta = 0^@ , 60^@ , 90^@ , 120^@ , 180^@, 240^@, 270^@` and `300^@`i.e., 8 positions will be obtained.


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