A wave moving with constant speed on a uniform string passes the point `x = 0` with amplitude `A_(0)`, angular frequency `omega_(0)` and average rate of energy transfer `P_(0)`. As the wave travels down the string it gradually loses energy and at the point `x = l`, the average rate of energy transfer becomes `(P_(0))/(2)`. At the point `x = l`, angular frequency and amplitude are respectively :

Options

A. directly on the square of the wave amplitude and square of the wave frequency
B. directly on the square of the wave amplitude and square root of the wave frequency
C. directly on the wave frequency and square of the wave amplitude
D. directly on the wave frequency and square of the wave frequency

Answer

A

Explanation

By definition