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MCQ practice · SSC Physics Board questions · Chapter 1: Physical Quantities and Their Measurements

Cumilla Board 2021

What is the dimension of power?

Think it through first, then pick an option.

  1. a MLT⁻³
  2. b ML²T⁻²
  3. c ML⁻¹T⁻³
  4. d ML²T⁻³
Answer and explanation

Correct answer: d ML²T⁻³

Power = work ÷ time = ML²T⁻² ÷ T = ML²T⁻³.

Why the other options are wrong

  • a MLT⁻³: MLT⁻³ is wrong; in power the exponent of L is 2, not 1. Power = work ÷ time = ML²T⁻² ÷ T = ML²T⁻³.
  • b ML²T⁻²: ML²T⁻² is the dimension of work and energy; in power the exponent of T is −3, not −2. Power = work ÷ time = ML²T⁻² ÷ T = ML²T⁻³.
  • c ML⁻¹T⁻³: ML⁻¹T⁻³ is wrong; in power the exponent of L is 2, not −1. Power = work ÷ time = ML²T⁻² ÷ T = ML²T⁻³.

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