The equation of a progressive wave travelling on a strected string is `y = 10 sin 2pi ((t)/(0.02) - (x)/(100))` where x and y are in cm and t is in sec. What is the speed of the wave?

Options

A. 500 cm/s
B. 50 m/s
C. 40 m/s
D. 400 m/s

Answer

B

Explanation

Comparing with `y = A sin 2pi ((t)/(T) - (x)/(lamda))`
we get, `T = 0.02 :. n= (100)/(2) = 50 Hz and lamda = 100 cm`
`:. V = n lamda = 50 xx 100 = 5000 cm//s = 50 m//ss`