Question

When a wave traverses a medium, the displacement of a particle located at x at time t is given by y=asin(bx-ct) where a, b and c are constants of wave. What are the dimensions of a, b and c ???

Answer 1

Thanks for trying Demitris, but the answer is not clear enough for me..........I appreciate your help anyway☺

Can somebody else look into this and answer pls...??

Answer 2

look at it dimensionally........the dimensions of both y and asin( bx-ct ) should be same...
as y is displacement we know its dimensions....now as sin ( ax - bt) doesnt have any dimensions a should have dimensions of y....

Answer 3

@demitris
Thanks friend, now I get what u r saying.....thanks a ton...☺

Answer 4

If you speak of units : if t is in seconds, then c must be in radians per second

If you speak of dimensions : dim t = T , so dim c = \(T^{-1}\)