A wire of length 400cm is stretched between two fixed points. When plucked, its fundamental...

PHYSICS
WAEC 2018

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: C. 1200\(ms^{-1}\)

Explanation

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

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

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

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



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