Question

A simple pendulum takes 35 seconds to complete 10 oscillations. What is the time period of the pendulum?

Answer 1

Frequency is the no. of oscillations made in one second

10 oscillations = 35 seconds

∴In one second 10/35 oscillations..

Time period=1/frequency

                    =1/10/35

                    =35/10=3.5s

Answer 2

Answer:

A simple pendulum takes 35 seconds to complete 10 oscillations. The time period of the pendulum will be $3.5\ s$

Explanation:

Oscillation refers to the to and fro motion of an object. Then the time period is the time taken to complete one to and fro motion of the oscillating body.

It can be obtained from the ratio of time taken for the oscillations and the number of oscillations made by the pendulum.

        $T = \frac{t}{N}$      ....(1)

Where T is the time period N  is the number of oscillations and t is the time taken for the oscillations.

In the question, it is given that,

$t=35\ s$

$N = 10$

Substitute these values into equation(1)

$T = \frac{35}{10} = 3.5\ s$

Time period of the pendulum = $3.5\ s$