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 ???

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 ???

ganeshie8 · Answer

i believe dimension of a is meter

ganeshie8 · Answer

b and c shouldnt have any dimensions at all. im not sure

anonymous · Answer

dimensin of b is m ^(-1)

anonymous · Answer

and c----- s^(-1)

anonymous · Answer

or Hz

anonymous · Answer

because argument of sin should be a dimensionless no...

anonymous · Answer

so both bx and ct will be dimensionless..

anonymous · Answer

it does make sense?

anonymous · Answer

I'm not sure myself, that is why I put it out here........

Anybody with a firm convincing answer pls....☺

anonymous · Answer

@akash123 

Thanks ....☺

anonymous · Answer

look for some text-book in which u'll get the derivation of wave equation....
y= A Sin( wt - kx)

anonymous · Answer

or still u need more explanation...put your question.