Question

A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency. ​[3 marks]

Answer 1

We know that frequency refers to the number of waves that pass a fixed point in unit time. (1 mark)
We have,
No. of vibrations = 40
Time = 4 s
So,
f = $\frac{40}{4}$
f = 10 Hz (1 mark)
Time period is the time taken for one oscillation.
Also, Time period = $\frac{1}{frequency}$
So,
T = $\frac{1}{10}$
T = 0.1 s (1 mark)
So, the time period is 0.1 s and the frequency is 10 Hz.