Question

The equation y(x,t)=acos2πf(xv-t) may be written as y(x,t)=acos[2πλ(x-vt)].

a. True
b. False

Answer 1

The equation y(x,t)=acos2πf(xv-t) can be written as y(x,t)=acos[2πλ(x-vt)]. This statement is true.

Step-by-step explanation:

The equation y(x,t)=acos2πf(xv-t) can be written as y(x,t)=acos[2πλ(x-vt)].

This statement is true.

Both equations are the same, just using different variables. In the first equation, f represents the frequency, while in the second equation, λ represents the wavelength. Since wavelength and frequency are related by the equation v = fλ, where v is the wave velocity, we can see that both equations are equivalent.