A wire of length 400cm is stretched between two fixed points. When plucked, its fundamental frequency is 150Hz. Calculate the speed of the wave produced.

A.

250\(ms^{-1}\)

B.

625\(ms^{-1}\)

C.

1200\(ms^{-1}\)

D.

1500\(ms^{-1}\)

Correct answer is C

The fundamental frequency \((f_{0})\) = \(\frac{v}{2l}\)

\(f_{0} = 150Hz; l =400cm = 4m\)

\(150 = \frac{v}{2\times 4}\)

\(v = 150 \times 8 = 1200ms^{-1}\)