Question

The time period T is found to depend upon L as

• A. $T\propto L$
• B. $T\propto L^2$
• C. $T^2\propto L$
• D. $T\propto \frac{1}{L}$

Answer 1

The correct option is C $T^2\propto L$

If T = time period,l= length of pendulum,g= effective acceleration on pendulum ,then

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

When g is not changing