Question

An object attached to one end of a spring makes 20 complete oscillation in 10 s. its time period (t) is

Answer 1

the time period= 20/10s=2s

Answer 2

Given:

Number of complete oscillations $n=20$

Time taken to complete 20 oscillations $t=10s$

To find:

Time period T=?

Formula:

Time period $T=\frac{1}{f}$

Solution:

Step 1 of 2

Time period of string is defined as the time taken to complete a single oscillation.

So, time period is determined by the reciprocal of frequency of oscillation.

Frequency of oscillation means number of oscillations occurring in a given time.

$f=\frac{n}{t}=\frac{20}{10}\\f=2s^{-1}$

Step 2 of 2

After the frequency is determined, now the time period can be obtained by finding the reciprocal of the frequency.

$T=\frac{1}{f}=\frac{1}{2}\\T=0.5s$

Thus, the time period is 0.5s.

Final Answer:

The time period is 0.5s.