Question

A boy pushes his sister on a swing. What is the
frequency of oscillation of his sister on the swing
if the boy counts 90. complete swings in 300.
seconds?
(1) 0.30 Hz (3) 1.5 Hz
(2) 2.0 Hz (4) 18 Hz

Answer 1

Frequency is oscillations per second, so:

90/300=0.3

Therefore the frequency is 0.30 Hz

Answer 2

Answer: The correct answer is Option 1.

Explanation:

Frequency is defined as the number of oscillations that are done per second.

Mathematically,

$\text{Frequency}=\frac{\text{Number of oscillations}}{\text{Time (in seconds)}}$

We are given:

Number of oscillations = 90

Time = 300 seconds

Frequency = ? Hz

Putting values in above equation, we get:

$\text{Frequency}=\frac{90}{300s^{-1}}=0.30s^{-1}=0.30Hz$

Hence, the correct answer is Option 1.