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What is the dimensional formula for energy?

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Question: What is the dimensional formula for energy?

Options:

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

Correct Answer: [M^1 L^2 T^-2]

Solution: 

Energy has the dimensional formula [M^1 L^2 T^-2], as it is measured in Joules (1 J = 1 kg·m²/s²).

What is the dimensional formula for energy?

Practice Questions

Q1
What is the dimensional formula for energy?
  1. [M^1 L^2 T^-2]
  2. [M^1 L^1 T^-2]
  3. [M^1 L^2 T^0]
  4. [M^0 L^1 T^-2]

Questions & Step-by-Step Solutions

What is the dimensional formula for energy?
Correct Answer: [M^1 L^2 T^-2]
  • Step 1: Understand that energy is measured in Joules (J).
  • Step 2: Know that 1 Joule is defined as 1 kilogram meter squared per second squared (1 J = 1 kg·m²/s²).
  • Step 3: Break down the units in the Joule: kilogram (kg) is mass (M), meter (m) is length (L), and second (s) is time (T).
  • Step 4: Write the units in terms of their dimensions: kg = M, m² = L², and s² = T².
  • Step 5: Combine these dimensions: 1 J = 1 kg·m²/s² = M^1 L^2 T^-2.
  • Step 6: Conclude that the dimensional formula for energy is [M^1 L^2 T^-2].
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