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

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Question: A mass attached to a spring oscillates with a period of 2 seconds. What is the frequency of the oscillation?

Options:

  1. 0.25 Hz
  2. 0.5 Hz
  3. 1 Hz
  4. 2 Hz

Correct Answer: 0.5 Hz

Solution:

Frequency (f) is the reciprocal of the period (T). f = 1/T = 1/2 = 0.5 Hz.

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

Practice Questions

Q1
A mass attached to a spring oscillates with a period of 2 seconds. What is the frequency of the oscillation?
  1. 0.25 Hz
  2. 0.5 Hz
  3. 1 Hz
  4. 2 Hz

Questions & Step-by-Step Solutions

A mass attached to a spring oscillates with a period of 2 seconds. What is the frequency of the oscillation?
Correct Answer: 0.5 Hz
  • Step 1: Understand that the period (T) is the time it takes for one complete cycle of oscillation. In this case, T is given as 2 seconds.
  • Step 2: Know that frequency (f) is how many cycles occur in one second. It is the reciprocal of the period.
  • Step 3: Use the formula for frequency: f = 1/T.
  • Step 4: Substitute the value of T into the formula: f = 1/2.
  • Step 5: Calculate the frequency: f = 0.5 Hz.
  • Oscillation Period and Frequency – The relationship between the period (T) of an oscillating system and its frequency (f), where frequency is the inverse of the period.
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