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The relationship between the period T and the length l of a simple pendulum is T =...

Physics
JAMB 1981

The relationship between the period T and the length l of a simple pendulum is T = 2\( \pi \) \( ( \frac{I}{g}) ^{ \frac{1}{2} } \). From experiment data of T and I, one can obtain the following graphs, i. T vs.I ii. T vs I2 iii. T2 vs. I iv. T vs \( \sqrt{I} \) v. logT vs logI. Which of the following graphs, are linear?

  • A. all
  • B. only i and ii
  • C. only iii and iv
  • D. iii, iv and v
  • E. none of them
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Correct Answer: Option D
Explanation

A graph of l against T\(^2\) will be linear 

With T vs \( \sqrt{I} \) and log T vs log L

The value of g can be obtained from the slope of each graph.


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