If the time period of a sound wave is 0.02 s, then what is its frequency?

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RRB JE Previous Paper 12 (Held On: 26 May 2019 Shift 1)
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  1. 50 Hz
  2. 100 Hz
  3. 25 Hz
  4. 500 Hz

Answer (Detailed Solution Below)

Option 1 : 50 Hz
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CONCEPT:

  • Frequency (f): The number of waves that pass a given point per second is called frequency.
    • The unit of frequency is vibration per second or Hertz.
  • Time period (T): The time taken to complete one full oscillation or cycle by the Wave is called time period.

    • The SI unit of the time period is second (s).

The relationship between time period and frequency is given as:

Time period (T) = 1/f

CALCULATION:

Given that: 

Time period (T) = 0.02 s

Frequency (f) = 1/T (time period)

f = 1/0.02 = 100/2 

f = 50 Hz. So option 1 is correct.

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