Question

In a simple pendulum, the period of oscillation T is related to length of the pendulum l as

• A. $\frac{l}{T} =$constant
• B. $\frac{l^{2}}{T} =$constant
• C. $\frac{l}{T^{2}} =$constant
• D. $\frac{l^{2}}{T^{2}} =$constant

Answer 1

Answer: (C)

$\frac{l}{T^{2}} =$constant

Answer 2

$T = 2\pi\sqrt{\frac{l}{g}} \Rightarrow \frac{l}{T^{2}} = \frac{g}{4\pi^{2}} =$constant