During a science experiment, a student sets up a simple pendulum … - Vidyadip

Question

During a science experiment, a student sets up a simple pendulum in the lab. She observes that the pendulum completes 40 complete oscillations in 80 seconds.
(i) Calculate the time period of the pendulum.
(ii) If the number of oscillations is doubled, but the total time also becomes double, will the time period change? Explain.

✓

Answer

Given: Number of oscillations $=40$,
Total time $=80$ seconds
(i) Time period $( T )=$
$
T=\frac{80}{40}=2 \text { seconds }
$
(ii) If the number of oscillations becomes 80 and total time becomes 160 seconds.
$
T=\frac{160}{80}=2 \text { seconds }
$
So, the time period remains the same. This is because the time period depends on the length of the pendulum, not on how many oscillations we count.

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