A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is given by `g(x) = A sin(x /a)`, where A and a are constants. (a) What are the dimensions of A and a ? (b) Write the equation of the wave for a general time 1, if the wave speed is v.

Answer

A, B

Explanation

At `t=0, g(x)=Asin(x/a)`
a. [M^0L^1T^0]=[L]`
`a=[M^0L^1T^0]=[L]`
b. wave speed =v
`:. Time period T=a/v`
`(a=wave length =lamda)`
`:.` General of wave
`y=Asin{(x/a-t/((a/v))}`
`=AsinP((x-vt))/a}`