Question

The equation of a stationary wave is y= 10 cos(πx/3) sin 20π t, where x and y are in centimetres and time in second.
Calculate the 1) Amplitude
2) Wavelength
3) Time Period ​

Answer 1

Acc. to stationary wave equation,

Y= 2A sin kx cos wt

a) Amplitude is , 2A =10

A=5

b) Wavelength, i.e =2π/k

=2π/π/3 = 6

c) Time period,is

T=2π/w

here w = 20π. T = 2π/20π

=1/10 = 0.1 secs