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What is the dimension of frequency?

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Question: What is the dimension of frequency?

Options:

  1. M^0L^0T^-1
  2. M^1L^0T^-1
  3. M^0L^1T^-1
  4. M^0L^0T^0

Correct Answer: M^0L^0T^-1

Solution: 

Frequency is defined as the number of cycles per unit time, thus its dimension is [M^0L^0T^-1].

What is the dimension of frequency?

Practice Questions

Q1
What is the dimension of frequency?
  1. M^0L^0T^-1
  2. M^1L^0T^-1
  3. M^0L^1T^-1
  4. M^0L^0T^0

Questions & Step-by-Step Solutions

What is the dimension of frequency?
Correct Answer: [M^0L^0T^-1]
  • Step 1: Understand what frequency means. Frequency is how often something happens in a certain amount of time.
  • Step 2: Identify the unit of frequency. The unit of frequency is Hertz (Hz), which means cycles per second.
  • Step 3: Break down the definition of frequency. Frequency = Number of cycles / Time.
  • Step 4: Recognize that 'Number of cycles' is a count and has no dimension (it's dimensionless). So, its dimension is [M^0L^0T^0].
  • Step 5: The 'Time' in the denominator has a dimension. Time has the dimension [T^1].
  • Step 6: Combine the dimensions. Since frequency is cycles divided by time, we write it as [M^0L^0T^0] / [T^1].
  • Step 7: Simplify the dimensions. This gives us [M^0L^0T^-1].
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