Question

A pendulum has a frequency of $40$ times in $4$ seconds. Find its time period (in Seconds)

• A. 0.10
• B. 0.20
• C. 0.30
• D. 0.40

Answer 1

The correct option is A 0.10

Frequency equals the number of waves that passes a given point per second or the number of oscillations of a vibrating body per second or number of cycles per second.
In this case, A pendulum has a frequency 40 in 4 seconds. Therefore, the frequency of the pendulum in one second is given as $f=\frac{Noofcycles}{timetaken}=\frac{40}{4}=10Hz$.
Time period of the wave is defined as the reciprocal of the frequency of the wave.
That is, $T=\frac{1}{f}=\frac{1}{10}=0.1second$.
Hence, the frequency and time period of the pendulum are 10 Hz and 0.1 second respectively.