To find the frequency of a wave when given the period, we use the formula for frequency (f), which is the reciprocal of the period (T).
The formula for frequency in terms of period is:
[tex]\[ f = \frac{1}{T} \][/tex]
Given that the period (T) is 0.248 seconds, we can calculate the frequency by taking the reciprocal of the period.
[tex]\[ f = \frac{1}{0.248} \][/tex]
Using a calculator or doing the division manually, we find:
[tex]\[ f \approx 4.032258 \][/tex]
The answer is rounded to two decimal places, which would be:
f ≈ 4.03 Hz
Hence, the frequency of the wave that has a period of 0.248 seconds is approximately 4.03 Hz. Therefore, the correct answer among the options provided is:
4.03 Hz
