Given time for energy transfer from A to B, which is the period, T = 2.5 × 10⁻³ s.

Question

ScanSolve AI Tutor · Accepted Answer

To solve question 16, we need to calculate the frequency of the wave.

Identify the given information.
The diagram shows one complete wave cycle from point A (a crest) to point B (the next crest). The time taken for this complete cycle is the period ( $T$ ) of the wave.
Given time for energy transfer from A to B, which is the period, $T = 2.5 \times 10^{-3}$ s.
Use the formula for frequency.
Frequency ( $f$ ) is the reciprocal of the period ( $T$ ).
$f = \frac{1}{T}$
Substitute the value of the period and calculate the frequency.
$f = \frac{1}{2.5 \times 10^{-3} \text{ s}}$ $f = \frac{1}{2.5} \times 10^{3} \text{ Hz}$ $f = 0.4 \times 10^{3} \text{ Hz}$ $f = 400 \text{ Hz}$
This can also be written in scientific notation as $4.0 \times 10^{2}$ Hz.
Compare with the given options.
The calculated frequency is $4.0 \times 10^{2}$ Hz, which corresponds to option (c).

The final answer is $\text{c) } 4.0 \times 10^{2} \text{ Hz}$ .

Given time for energy transfer from A to B, which is the period, T = 2.5 x 10⁻³ s.