JAMB - Physics (1981 - No. 39)
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?
all
only i and ii
only iii and iv
iii, iv and v
none of them
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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