An object completes 120 revolutions in 30 seconds along a circular path. The ratio of its frequency to its period is: 

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MSTET Varg 2 Science (Shift 2): Held on 18th Feb 2019
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  1. 1 ∶ 4
  2.  2
  3. 16  1
  4.  1

Answer (Detailed Solution Below)

Option 3 : 16  1
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Detailed Solution

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Concept:

Frequency:

  • It's defined as the number of oscillations per unit of time.
  • Frequency = (Number of Oscillations)/ (Time taken)

Time period:

  • It's defined as the time required to complete one oscillation.
  • Time Period = (Time taken) / (Number of Oscillations)
Calculation:

Given:

Time = 30 sec, Number of oscillations = 120

Frequency = (Number of Oscillations)/ (Time taken)

Frequency = 120/30 = 4 Hz

Time Period = (Time taken) / (Number of Oscillations)

= 30/120 = 1/4 = 0.25
Hence Frequency: Time period = 4: 1/4 =  16:1
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