Question

1. a wave has a period of 20 s/cycle (2.0*10¹ s/cycle). what is its frequency? 5 marks

Explanation:

Step1: Recall frequency-period relation

Frequency $f$ is the reciprocal of period $T$.
$$f = \frac{1}{T}$$

Step2: Substitute given period value

Given $T = 20\ \text{s/cycle}$, substitute into the formula.
$$f = \frac{1}{20\ \text{s/cycle}}$$

Step3: Calculate the frequency

Simplify the expression to get the value.
$$f = 0.05\ \text{cycles/s} = 5.0\times10^{-2}\ \text{Hz}$$

Answer:

$5.0\times10^{-2}\ \text{Hz}$ (or 0.05 cycles per second)