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A mass-spring system oscillates with a frequency of 2 Hz. What is the time perio

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Question: A mass-spring system oscillates with a frequency of 2 Hz. What is the time period of the oscillation?

Options:

  1. 0.5 s
  2. 1 s
  3. 2 s
  4. 4 s

Correct Answer: 1 s

Solution:

The time period T is the reciprocal of frequency f. T = 1/f = 1/2 Hz = 0.5 s.

A mass-spring system oscillates with a frequency of 2 Hz. What is the time perio

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 2 Hz. What is the time period of the oscillation?
  1. 0.5 s
  2. 1 s
  3. 2 s
  4. 4 s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 2 Hz. What is the time period of the oscillation?
Correct Answer: 0.5 s
  • Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 2 Hz.
  • Step 2: Know that the time period (T) is the time it takes for one complete cycle of the oscillation.
  • Step 3: Remember the formula that relates time period and frequency: T = 1/f.
  • Step 4: Substitute the given frequency into the formula: T = 1/2 Hz.
  • Step 5: Calculate the time period: T = 0.5 seconds.
  • Frequency and Time Period – The relationship between frequency and time period, where the time period T is the reciprocal of frequency f (T = 1/f).
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