What is the frequency of a waveform with a time duration of 15 milliseconds (ms)?

What is the frequency of a waveform with a time duration of 15 milliseconds (ms)?

• A. 6.67 hertz (Hz)
• B. 66.67 Hz
• C. 666.67 Hz
• D. 6666.67 Hz

Answer: (B)

To find the frequency of a waveform given its time duration, you can use the relationship between frequency (f) and time period (T). The formula is: \[ f = \frac{1}{T} \] where frequency is measured in hertz (Hz) and time period in seconds (s). In this case, the time duration given is 15 milliseconds, which can be converted to seconds: \[ 15 \text{ ms} = 0.015 \text{ s} \] Now, applying the formula for frequency: \[ f = \frac{1}{0.015} \] Calculating this gives: \[ f = \frac{1}{0.015} = 66.67 \text{ Hz} \] This value represents the number of cycles the waveform completes in one second. Therefore, the correct answer is 66.67 Hz, accurately reflecting the frequency of the waveform corresponding to the specified time duration of 15 milliseconds. The understanding of converting milliseconds to seconds and applying the frequency formula is crucial for such questions in the study of waveforms.

To find the frequency of a waveform given its time duration, you can use the relationship between frequency (f) and time period (T). The formula is:

[ f = \frac{1}{T} ]

where frequency is measured in hertz (Hz) and time period in seconds (s).

In this case, the time duration given is 15 milliseconds, which can be converted to seconds:

[ 15 \text{ ms} = 0.015 \text{ s} ]

Now, applying the formula for frequency:

[ f = \frac{1}{0.015} ]

Calculating this gives:

[ f = \frac{1}{0.015} = 66.67 \text{ Hz} ]

This value represents the number of cycles the waveform completes in one second. Therefore, the correct answer is 66.67 Hz, accurately reflecting the frequency of the waveform corresponding to the specified time duration of 15 milliseconds. The understanding of converting milliseconds to seconds and applying the frequency formula is crucial for such questions in the study of waveforms.