1.

2 loudspeakers are emitting sound waves of wavelength lambda with an initial phase difference of `pi/2` at what minimum distance from O on line AB will one hear a maximum A. `25lambda`B. `(100lambda)/sqrt(15)`C. `(25lambda)/3`D. `50 lambda`

Answer» Correct Answer - C
`Deltaphi=2npi`
`Rightarrowpi/2+(2pi)/lambdad sin theta=2npi`
`(2pi)/lambdadsintheta=(2n-1/2)pi`
`sintheta=(2n-1/2)lambda/(2d)=1/2xxlambda/(2xx3lambda)=1/12`
`Rightarrowy/sqrt((100lambda))^(2)=1/12`
`144y^(2)=(100lambda)^(2)`
`yapprox(100lambda)/12 = (25lambda)/3`


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