1.

The equation of a transverse wave is given by y = 0.05 sin pi (2t - 0.02 x) , where x,y are in metre and t is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively

Answer»

50m 50 `ma^(-1)`
100 m, 100 `ms^(-1)`
50 m, 100 `ms^(-1)`
100m , 50 `ms^(-1)`

Solution :Given y = 0.05 sin `pi`(2t- 0.02 x)
y = 0.05 sin `(2pi t - 0.02 pi x)`
COMPARING it with standard equation y = r sin `(omega t - KX) `
We have `omega= 2pi and K = 0.02 pi`
and k = `(2pi)/(lambda) RARR -.01 pi= (2pi)/(lambda) `
`lambda = (2pi)/(0.02 pi) = 100 ` m
so CORRECT choice is (b).


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