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

Correct answer is C

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

With T vs \( \sqrt{I} \)