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Equation of a plane wave is given by `4 sin .(pi)/(4)[2t+(x)/(8)]`. The phase difference at any given instant of two particles 16 cm apart isA. `60^(@)`B. `90^(@)`C. `30^(@)`D. `120^(@)` |
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Answer» Correct Answer - B `y = 4 sin. (pi)/(4) (2t+(x)/(8)) " "….(i)` or `y = 4 sin((pi)/(2)t + (pix)/(32))" "….(ii)` The standard equation is `y = 4 sin (omega t pm kx)` Comparing the Eq. (i) with Eq. (ii), we get ` k = (pi)/(2)` `therefore " "(2pi)/(lambda)=(pi)/(32)` `therefore " "(lambda)/(2)=32` `therefore " "lambda = 64` `therefore " "Delta phi = (2pi)/(lambda)Deltax` `= (2pi)/(64) xx 16 = (pi)/(2) = 90^(@)` |
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