Question

If a pendulum oscillates $180$ times in $3$ min, then find its frequency and time period?

• A. $20Hz,3sec$
• B. $1Hz,18sec$
• C. $4Hz,10sec$
• D. $1Hz,1sec$

Answer 1

The correct option is D $1Hz,1sec$

Given, no. of oscillations $=180$
Time taken $=3min=180sec$.
By using the formula:

$Frequency\left(f\right)=\frac{\text{No. of oscillation}}{\text{Time taken}}$
$\Rightarrow f=\frac{180}{180}=1Hz$
By using the formula,

Time period $\left(T\right)=\frac{1}{Frequency}$
$\Rightarrow T=\frac{1}{1}=1sec$.