The dimensional formula for frequency is: (2023)

Practice Questions

Q1
The dimensional formula for frequency is: (2023)
  1. [T^-1]
  2. [M^0 L^0 T^-1]
  3. [M^1 L^1 T^-1]
  4. [M^0 L^1 T^0]

Questions & Step-by-Step Solutions

The dimensional formula for frequency is: (2023)
  • Step 1: Understand what frequency means. Frequency is how many times 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: Recognize that frequency is calculated as the number of cycles divided by time. This can be written as: Frequency = Number of cycles / Time.
  • Step 4: In dimensional analysis, we represent time with the symbol [T].
  • Step 5: Since frequency is the number of cycles (which is dimensionless) divided by time, we can express this as: Frequency = 1 / [T].
  • Step 6: This means the dimensional formula for frequency is [T^-1], indicating that it is inversely related to time.
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