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The fundamental frequency of a plucked wire under a tension of 400N is 250Hz. When...

Physics
JAMB 2007
The fundamental frequency of a plucked wire under a tension of 400N is 250Hz. When the frequency is changed to 500 Hz at constant length, the tension is
  • A. 1600N
  • B. 400N
  • C. 160N
  • D. 40N
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Correct Answer: Option A
Explanation
The fundamental frequency is related to tension as
F ∝ √T
=>F= K
√T

∴F1=F2=>250=500
√T1√T2√400√T2

∴√T2 = 500√400 = 2 x 20
250

∴ T2 = 402 = 1600N

There is an explanation video available below.

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