A mass attached to a spring oscillates with a period of 2 seconds. What is its f

Practice Questions

Q1
A mass attached to a spring oscillates with a period of 2 seconds. What is its frequency? (2014)
  1. 0.5 Hz
  2. 1 Hz
  3. 2 Hz
  4. 4 Hz

Questions & Step-by-Step Solutions

A mass attached to a spring oscillates with a period of 2 seconds. What is its frequency? (2014)
  • Step 1: Understand that the period (T) is the time it takes for one complete cycle of oscillation. In this case, the period is given as 2 seconds.
  • Step 2: Know that frequency (f) is the number of cycles per second. It is calculated using the formula f = 1/T.
  • Step 3: Substitute the value of the period into the formula. Here, T = 2 seconds, so f = 1/2.
  • Step 4: Calculate the frequency. 1 divided by 2 equals 0.5.
  • Step 5: Conclude that the frequency of the mass attached to the spring is 0.5 Hz.
  • Oscillation and Frequency – Understanding the relationship between the period of oscillation (T) and frequency (f), where frequency is the reciprocal of the period.
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