The equation of a simple harmonic wave is given by `y=5 "sin"(pi)/(2)(100 t-x)` where x and y are in metre and time is in second. The period of the wave in second will be

Options

A. `0.04`
B. `0.01`
C. 1
D. 5

Answer

A

Explanation

Compare the given equation with the standard equation
`y=A sin(omega t - kx)`
`therefore omega =(100 pi)/(2)` or, `(2pi)/(T)=(100pi)/(2)`
or, `T=(4)/(100)=0.04` sec.