Question
A simple pendulum makes $10$ oscillations in $20$ seconds. Whatis the time period and frequency of its oscillation$?$
✓
Answer
Given, number of oscillations $= 10$
Time taken $= 20\ s$
As, we know that the number of oscillations per second is frequency
$\therefore\text{Frequency}=\frac{\text{Number of oscillations}}{\text{Time taken}}=\frac{10}{20}=0.5\text{Hz}$
$\therefore\text{Time period}=\frac{\text{1}}{\text{Frequency}}=\frac{1}{0.5}=2\text{s}$
Time taken $= 20\ s$
As, we know that the number of oscillations per second is frequency
$\therefore\text{Frequency}=\frac{\text{Number of oscillations}}{\text{Time taken}}=\frac{10}{20}=0.5\text{Hz}$
$\therefore\text{Time period}=\frac{\text{1}}{\text{Frequency}}=\frac{1}{0.5}=2\text{s}$
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