Question

A pendulum makes 40 oscillations in 4 seconds. find its time period and frequency.

Answer 1

Given that 40 oscillations are made by the pendulum for 4 sec.
So, It makes 10 oscillations are made by the pendulum for 1sec.
We know that the number of oscillations made per second (10 oscillations per second ) is called its frequency


∴ Frequency = 10 Hz
Time period = 1/ Frequency
Time period = 1/ 10
Time period = 0.1 sec

Answer 2

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• Time Period

Time period = Time/No. of oscillations in time

→ Time period = 4/40

→ Time period = 0.1 sec

• Frequency

Frequency = 1/Time period

→ Frequency = 1/0.1

→ Frequency = 10 Hz

Hence, the time period is 0.1 sec & frequency is 10 Hz