If the frequency of a wave is 20 Hz, what will be its time period in seconds?
Electronics and Communication Engineering
Communication Systems
Difficulty: Easy
Choose an option
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A20 secs
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B2 secs
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C0.2 secs
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D0.05 secs
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E0.005 secs
Answer
Correct Answer: 0.05 secs
Explanation
Introduction / Context:The relationship between frequency and time period is a fundamental concept in physics and communication systems. Frequency defines how many cycles occur per second, while the time period specifies the duration of one cycle.
Given Data / Assumptions:
- Frequency f = 20 Hz.
- Formula: T = 1 / f.
Concept / Approach:Frequency and time period are reciprocals. A wave with higher frequency has a smaller time period.
Step-by-Step Solution:
T = 1 / fT = 1 / 20T = 0.05 secondsVerification / Alternative check:20 cycles per second ⇒ each cycle = 1/20 = 0.05 s.
Why Other Options Are Wrong:
20 secs: corresponds to 0.05 Hz, not 20 Hz.2 secs: corresponds to 0.5 Hz.0.2 secs: corresponds to 5 Hz.0.005 secs: corresponds to 200 Hz.Common Pitfalls:
Confusing reciprocal relation and multiplying instead.Final Answer:
0.05 secs