MCQ practice · SSC Physics Board questions · Chapter 1: Physical Quantities and Their Measurements
Which two quantities have the same dimension?
Think it through first, then pick an option.
- a Pressure and stress
- b Work and power
- c Electric current and luminous intensity
- 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.
More board questions on this topic
- What is the dimension of stress?
- What is the dimension of pressure?
- What is the dimension of density?
- What is the dimension of retardation?
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