Question

A simple pendulum makes $10$ oscillations in $20$ seconds. What is the time period and frequency of its oscillation?

• A. $2s$
• B. $0.5s$
• C. $10s$
• D. $1s$

Answer 1

The correct option is A $2s$

Simple Pendulum is a very small heavy metal bob suspended at a point from a firmly fixed support using a single strand thread so that it oscillates freely. The distance between the point of suspension and centre of bob is called the length of the pendulum.

One oscillation: One complete to and fro motion of the oscillating body is called one oscillation.

Frequency: It is the number of oscillations made by the body in one second.

Time Period: It is the time taken by a body to complete one oscillation.
Hence, the Frequency and Time period are calculated as follows.
Time period = Time taken by the pendulum/Number of oscillations made by the pendulum.
$\frac{20}{10}$
$=2s$
Frequency $=1/Period$
$\frac{1}{2}$
$=0.5Hz$

Hence, the Time period and frequency are 2 seconds and 0.5 Hertz respectively.