A standing wave pattern of amplitude A in a string of length L shows 2 nodes (plus those at two ends). If one end of the string corresponds to the origin and v is the speed of progressive wave, the disturbance in the string, could be represented (with appropriate phase) as:

Options

A. `y(x,t)=A sin ((2pi x)/L) cos ((2pivt)/L)`
B. `y(x,t)=A cos ((3pix)/L) sin ((2pivt)/L)`
C. `y(x,t)=A cos ((4pix)/L) cos ((4pivt)/L)`
D. `y(x,t)=A sin ((3pix)/L) cos ((3pivt)/L)`

Answer

D