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The frequency of a wave travelling at a speed of 500 ms-1 is 25 Hz. Its time period will be ______. 
  • a)
    20 s
  • b)
    0.05 s
  • c)
    25 s
  • d)
    0.04 s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The frequency of a wave travelling at a speed of 500 ms-1 is 25 Hz. It...
Time period and frequency are two related concepts in the study of waves. The time period is the time it takes for one complete cycle of a wave to pass a given point, while the frequency is the number of complete cycles of a wave that occur in one second. The relationship between time period and frequency is defined by the equation:

frequency = 1 / time period

Given that the frequency of the wave is 25 Hz, we can use this equation to find the time period.

Frequency = 25 Hz

1 / time period = 25 Hz

Therefore, the time period can be calculated as:

time period = 1 / frequency

time period = 1 / 25 Hz

time period = 0.04 s

Therefore, the time period of the wave is 0.04 seconds.

Explanation:
- Time period and frequency are related concepts in the study of waves.
- The time period is the time it takes for one complete cycle of a wave to pass a given point.
- The frequency is the number of complete cycles of a wave that occur in one second.
- The relationship between time period and frequency is defined by the equation: frequency = 1 / time period.
- Given that the frequency of the wave is 25 Hz, we can use this equation to find the time period.
- Substituting the given frequency into the equation, we have: 1 / time period = 25 Hz.
- Solving for the time period, we find: time period = 1 / 25 Hz = 0.04 s.
- Therefore, the time period of the wave is 0.04 seconds.
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The frequency of a wave travelling at a speed of 500 ms-1 is 25 Hz. Its time period will be ______.a)20 sb)0.05 sc)25 s d)0.04 sCorrect answer is option 'D'. Can you explain this answer?
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