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A mass attached to a spring oscillates with a frequency of 5 Hz. What is the tim

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Question: A mass attached to a spring oscillates with a frequency of 5 Hz. What is the time period of the oscillation?

Options:

  1. 0.1 s
  2. 0.2 s
  3. 0.5 s
  4. 1.0 s

Correct Answer: 0.5 s

Solution:

The time period T is the reciprocal of frequency f. Thus, T = 1/f = 1/5 = 0.2 s.

A mass attached to a spring oscillates with a frequency of 5 Hz. What is the tim

Practice Questions

Q1
A mass attached to a spring oscillates with a frequency of 5 Hz. What is the time period of the oscillation?
  1. 0.1 s
  2. 0.2 s
  3. 0.5 s
  4. 1.0 s

Questions & Step-by-Step Solutions

A mass attached to a spring oscillates with a frequency of 5 Hz. What is the time period of the oscillation?
  • Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 5 Hz.
  • Step 2: Know that the time period (T) is the time it takes for one complete cycle of 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 = 1/5.
  • Step 5: Calculate the time period: T = 0.2 seconds.
  • Frequency and Time Period – The relationship between frequency and time period, where the time period is the inverse of frequency.
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