What is the frequency (f) of a wave with a period of 0.04 seconds?

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SSC MTS 2024 Official Paper (Held On: 15 Oct, 2024 Shift 2)
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  1. 50 Hz
  2. 25 Hz
  3. 40 Hz
  4. 100 Hz

Answer (Detailed Solution Below)

Option 2 : 25 Hz
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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The correct answer is option 2.

Key Points

  • The frequency (f) of a wave is the reciprocal of its period (T).
  • The formula to calculate frequency is f = 1/T.
  • Given the period T = 0.04 seconds, applying the formula gives f = 1/0.04.
  • Therefore, the frequency of the wave is f = 25 Hz.

Additional Information

  • Frequency (f):
    • Frequency is the number of complete wave cycles that pass a point per unit of time, typically measured in Hertz (Hz).
    • 1 Hz is equal to one cycle per second.
  • Period (T):
    • The period is the time taken for one complete cycle of the wave to pass a given point.
    • It is usually measured in seconds (s).
  • Relationship between Period and Frequency:
    • The period is the inverse of the frequency: T = 1/f.
    • Similarly, frequency is the inverse of the period: f = 1/T.
  • Wave Cycles:
    • A wave cycle consists of one complete wave oscillation, typically measured from crest to crest or trough to trough.
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