Question

A simple pendulum makes 20
oscillations in 40 seconds.
What is the time period and
frequency of its oscillation?
O a) 2 Sec, 0.5 HZ
Ob) 0.5 Sec, 2 Hz
O c) 8 Sec, 4 Hz
O d) None of the above​

Answer 1

Explanation:

It is given that,

Number of oscillations made by the simple pendulum, N = 20

Time taken, t = 40 seconds

Let T is the time period of its oscillation. The total number of oscillations per unit time is called frequency of the simple pendulum. It can be calculated as :

f=\dfrac{20}{40}\ Hz=0.5\ Hzf=

40

20

Hz=0.5 Hz

The relation between the time period and frequency is given by :

f=\dfrac{1}{t}f=

t

1

t=\dfrac{1}{0.5\ Hz}t=

0.5 Hz

1

t = 2 seconds

Hence, this is the required solution

your answer (a)