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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. |
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Answer» Correct Answer - A::B 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}` |
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