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

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: Option C
Explanation

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

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

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

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