Question

A simple pendulum makes 10 oscillations in 20 seconds. What is the time period and frequency
of oscillations?
a. 0.5 second, 2 hertz
b. 2 hertz, 0.5 second
C. 2 seconds, 0.5 hertz
d. 2 meter, 0.5 hertz​

Answer 1

Answer:

Your answer is b. 2 hertz, 0.5 second.

Explanation:

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Answer 2

Answer :

Before solving the question directly, We need to know the concepts used in answer.

$\;\large\underbrace{\underline{\sf{Understanding\;the\;Concept}}}$

★ Simple pendululum : A simple pendulum is a small ball which is heavy and it is tied with a thread and it oscillates freely. Example : Clock pendululum.

★ Time period : The time taken by Bob or body to complete one oscillation is called as time period.

${\blue{\bf Time \ period \ = \ \dfrac {Time \ taken \ by \ pendulum}{Number \ of \ oscillations}}}$

★ Frequency : Number of oscillations Bob made in a second is called as frequency.

${\blue{\bf Frequency \ = \ \dfrac {1}{Period}}}$

Now,

$\sf Time \ period \ = \ \dfrac {Time \ taken \ by \ pendulum}{Number \ of \ oscillations}$

$\implies \sf \dfrac {20}{10}$

$\sf Time \ taken \ = \ 2 \ sec$

$\sf Frequency \ = \ \dfrac {1}{Period}$

$\sf Frequency \ = \ \dfrac {1}{2}$

$\sf Frequency \ = \ 0.5 \ Hz$.