Question

A particle takes 40 seconds to make 20 oscillation calculate the time period and frequency of oscillation

Answer 1

As we know A Time period (denoted by 'T' ) is the time needed for one complete oscillation.

20 oscillations take 40 seconds.

1 oscillations take (40/20) = 2 seconds.

Therefor time period is 2 seconds.

Frequency is inverse of time period i.e. 1/2 = 0.5  

Answer 2

Given:

20 oscillations are made in 40 seconds

10 oscillations are made in 20 seconds

oscillations are made in 2 seconds

Therefore Time period=2 seconds

Frequency=1/T

n=1/2=0.5 Hertz