Frequency and time period

The frequency of a wave can be calculated using this equation:

frequency = \frac{1}{time~period}

f=\frac{1}{T}

where:

f is the number of waves produced by a source per second, it is measured in hertz (Hz).

T is the time it takes for one complete oscillation, it is measured in seconds.

All waves, including sound waves and electromagnetic waves, follow this equation. For example, a wave with a time period of 2 seconds has a frequency of 1 ÷ 2 = 0.5 Hz.

Question

A sound wave has a time period of 0.0001 seconds. What is its frequency?

f = 1 ÷ T

f = 1 ÷ 0.0001 s

f = 10,000 Hz

Question

A radio wave has a time period of 0.0000003333333 seconds. What is its frequency?

f = 1 ÷ T

f = 1 ÷ 0.0000003333333 s

f = 3,000,000 Hz

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