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If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula

Mathematics
JAMB 2006

If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula

  • A. (4π l2) / T
  • B. (4π2l) / T2
  • C. (4π2l2) / T2
  • D. (2π√l) / T
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Correct Answer: Option B
Explanation

\(T = 2\pi \sqrt{\frac{l}{g}}\)

\(\frac{T}{2\pi} = \sqrt{\frac{l}{g}}\)

\((\frac{T}{2\pi})^{2} = \frac{l}{g}\)

\(\therefore g = \frac{4 \pi^{2} l}{T^{2}}\)

There is an explanation video available below.


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Explanation Video

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