A sinusoidal wave with amplitude y is travelling with speed v on a string with linear density `rho` . The angular frequency of the wave is `omega` . The following conclusions are drawn . Mark the one which is correct . ( in particular option , if we are changing one quantity , assume other are kept constant)

Options

A. doubling the frequency doubles the rate at which energy is carried along the string
B. if the amplitude were doubled, the rate at which energy is carried would be halved
C. if the amplitude were doubled, the rate at which energy is carried would be doubled
D. the rate at which energy is carried is directly proportional to the velocity of the wave.

Answer

D