Question

A simple pendulum swings about the vertical. If maximum angular displacement is $5^o$ with equilibrium and time period is $T$. If the same pendulum is given a maximum angular displacement of ${10}^o$. Choose the correct option which gives the period of the oscillations.

• A. $\frac{T}{2}$
• B. $\frac{T}{\sqrt{2}}$
• C. $T$
• D. $T\sqrt{2}$
• E. $2T$

Answer 1

Answer: (C)

$T$

The time period of a vertical simple pendulum is given by

$T=2\pi \sqrt{\frac{l}{g}}$

since time period is not depending on maximum angular displacement therefore it will remain same as $T$.