The equation of a vibrating string, fixed at both ends, is given by `y = (3 mm) sin ((Pix)/(15))sin (400 Pit)` where x is the distance (in cm) measured from one end of the string, t is the time (in seconds), and y gives the displacement. The string vibrates in 4 loops. The speed of transverse waves along the string equals, for the fundamental mode,

Options

A. `60 m//s`
B. `120 m//s`
C. `30 m//s`
D. `15 m//s`

Answer

A

Explanation

The speed of the transverse waves equals
the frequency `xx` wavelength
`= 200 xx 0.3 m//s = 60 m//s`.
and is independent of the frequency.