A string is producing transverse vibration whose equation is y = 0.021 sin ( x + 30 t ) , where x and y are in metre and t is in second . If the linear density of the string is `1.3xx10^(-4)kg//m` , then tension in string in newton will be

Options

A. 10
B. 0.5
C. 1
D. 0.117

Answer

D

Explanation

We use
`y = 0.021 sin(x + 30t)`
Wave speed is given as
`v = (omega)/(k) = (30)/(1) = 30 m//s`
`v = sqrt((T)/(m))`
`30 = sqrt((T)/(1.3 xx 10^(-4)))`
T = 0.117 N.