If a signal has a period of 1000 ms, what is its frequency in kilohertz?
2012
If a signal has a period of 1000 ms, what is its frequency in kilohertz?
Answer: A. 10−3 kHz — ConceptFrequency and period are reciprocals: f = 1/T. The period must first be expressed in seconds; 1 hertz means one cycle per second, and 1 kilohertz…
- A.
10−3 kHz
- B.
10−2 kHz
- C.
10−1 kHz
- D.
1 kHz
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Show answer & explanation
Correct answer: A
Concept
Frequency and period are reciprocals: f = 1/T.
The period must first be expressed in seconds; 1 hertz means one cycle per second, and 1 kilohertz equals 1000 hertz.
Application
Convert the period: T = 1000 ms = 1000 × 10−3 s = 1 s.
Apply the reciprocal relation: f = 1/T = 1/(1 s) = 1 Hz.
Convert hertz to kilohertz: 1 Hz = 1/1000 kHz = 10−3 kHz.
Cross-check
Using T = 1/f with f = 10−3 kHz = 1 Hz gives T = 1 s = 1000 ms, matching the given period.
Therefore, the frequency is 10−3 kHz.