Question

question 7 of 10
how is the period of a wave calculated relative to its frequency?

\\(\text{frequency}^2\\)
\\(\text{frequency} \times 1\\)
\\(1 + \text{frequency}\\)
\\(1 / \text{frequency}\\)

Explanation:

Define wave period and frequency

Wave period \(T\) is the duration of one complete cycle. Frequency \(f\) is the number of cycles per unit time.

Relate period and frequency mathematically

Since period is time per cycle and frequency is cycles per time, they are reciprocal quantities.

State the formula

The mathematical relationship is:

$$T = \frac{1}{f}$$

Match with the given options

The formula \(T = \frac{1}{f}\) corresponds to the option "1/frequency".

Answer:

• \(\text{frequency}^2\)
• \(\text{frequency} \times 1\)
• \(1 + \text{frequency}\)
• \(1/\text{frequency}\) (Correct answer)