A transverse sinusoidal wave of wavelength 20 cm is moving along a string towards increasing x. The transverse displacement of the string particle at as a function of time is shown in Figure.
The equation of the wave with all the constants evaluated is:

Options

A. `y=(4.0cm)sin((pi)/(10)x-(pi)/(5)t),x` in cm and t in sec.
B. `y=(4.0cm)sin((pi)/(10)x+(pi)/(5)t),x` in cm and t in sec
C. `y=(4.0cm)sin((pi)/(10)x-(pi)/(5)t+pi)`, x in cm and t in sec
D. `y=(4.0cm)cos((pi)/(10)x-(pi)/(5)t+pi),x` in cm and t in sec

Answer

A

Explanation

From the given graph:
`A=4cm,T=10s `
`therefore`Equation of wave `y=(4cm)sin((2pi)/(20)x-(2pi)/(10)t+phi),x` in cm, t in sec