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Figure shows two coherent sources S(1) a...

Figure shows two coherent sources `S_(1)` and `S_(2)` vibrating in same phase. AB in an irregular wire lying at a far distance from the sources `S_(1)` and `S_(2). `Let `(lambda)/(d) = 10^(-3) /_ BOA = 0.12^(@)`. How many bright spots will be seen on the wire, including points A and B?

Text Solution

Verified by Experts

The correct Answer is:
3
Say `'n'` fringes are present in the region shown by `'y'`
`rArr y=nbeta =(nlambdaD)/(d)`
`rArr (y)/(D) approx tan (0.06^(@)) approx (0.06xxpi)/(180)=(nlambda)/(d)`
`rArr n =(10^(3)xxpi)/(180)xx0.06=(pi)/(3) gt 1.`
Hence, only one maxima above and below point `O.` So total `3` bright spots will be present (including point `'O'i.e.` the central maxima).
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