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What is the dimensional formula for velocity?

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What’s inside this PDF?

Question: What is the dimensional formula for velocity?

Options:

  1. MLT⁻¹
  2. ML²T⁻²
  3. M⁰L⁰T⁻¹
  4. M⁰L¹T⁻²

Correct Answer: MLT⁻¹

Solution: 

Velocity is defined as displacement per unit time, which gives the dimensional formula of [MLT⁻¹].

What is the dimensional formula for velocity?

Practice Questions

Q1
What is the dimensional formula for velocity?
  1. MLT⁻¹
  2. ML²T⁻²
  3. M⁰L⁰T⁻¹
  4. M⁰L¹T⁻²

Questions & Step-by-Step Solutions

What is the dimensional formula for velocity?
  • Step 1: Understand that velocity measures how fast something moves.
  • Step 2: Know that velocity is calculated by dividing displacement (how far something has moved) by time (how long it took).
  • Step 3: Identify the dimensions of displacement. Displacement is a measure of length, which has the dimensional formula [L].
  • Step 4: Identify the dimensions of time. Time has the dimensional formula [T].
  • Step 5: Combine the dimensions for velocity. Since velocity is displacement divided by time, the formula becomes [L] / [T].
  • Step 6: Simplify the formula. This gives us [L][T⁻¹], which is the same as [MLT⁻¹] since mass (M) is not involved in the formula for velocity.
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