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If the frequency of a wave is 20 Hz, what will be its time period in seconds?

Difficulty: Easy

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 seconds


Verification / 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
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