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
Correct answer is C
A graph of l against T\(^2\) will be linear
With T vs \( \sqrt{I} \)