A transverse wave described by ` y = 0.5 sin ( x + 40 t) ` is propagating on a vibrating string of linear density `0.01` kg/m. If x and y are in metre and time is in second, then the tension in the wire is

Options

A. 4 N
B. 8 N
C. 16 N
D. 32 N

Answer

C

Explanation

` y = 0.5 sin ( x + 40 t)`
Comparing with ` y = A sin . (2pi)/ lambda ` (vt + x)
we get , ` V = 40 ` m/s
` :' V = sqrt( T/ m ) :. T = V^(2) m = 40 xx 40 xx 0.01 = 16 ` N