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

Barishal Board 2023

Which two quantities have the same dimension?

Think it through first, then pick an option.

  1. a Pressure and stress
  2. b Work and power
  3. c Electric current and luminous intensity
  4. d Acceleration and speed
Answer and explanation

Correct answer: a Pressure and stress

Pressure and stress are both force ÷ area = MLT⁻² ÷ L² = ML⁻¹T⁻², so their dimensions are the same.

Why the other options are wrong

  • b Work and power: Work is ML²T⁻² and power = work ÷ time = ML²T⁻³; the exponent of T differs.
  • c Electric current and luminous intensity: These are two separate fundamental quantities, each with its own dimension, so their dimensions are not the same.
  • d Acceleration and speed: Acceleration is LT⁻² and speed is LT⁻¹ (like velocity); the exponent of T differs.

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