Under constant tension and constant mass per unit length, the note produced by a plucked...

PHYSICS
JAMB 1997

Under constant tension and constant mass per unit length, the note produced by a plucked string is 500Hz when the length of the string is 0.90m. At what length is the frequency 150Hz?

  • A. 3m
  • B. 4m
  • C. 5m
  • D. 6m

Correct Answer: A. 3m

Explanation

F = \(\frac{1}{2L}\)\(\sqrt\frac{T}{m}\)

F1L1 = F2L2

500 x 0.9 = 150 x L2

therefore, L2 = 3m



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