Question

In a simple pendulum the period of oscillation (T) is related to the length of the pendulum (L) as

• A. $L/T=$ Constant
• B. $L^2/T^2=$ Constant
• C. $L/T^2=$ Constant
• D. $LT=$ Constant

Answer 1

Answer: (C)

$L/T^2=$ Constant

$T=2\pi \sqrt{\frac{L}{g}}$
$T^2=\frac{2\pi L}{g}$
$\frac{L}{T^2}=\frac{g}{2\pi }$
$\frac{L}{T^2}=k$