MCQ practice · SSC Physics Board questions · Chapter 5: State of Matter and Pressure
Which of the following is the unit of pressure?
Think it through first, then pick an option.
- a kgm⁻¹ s⁻²
- b kgm² s⁻²
- c kgms⁻²
- d kgm² s⁻³
Answer and explanation
Correct answer: a kgm⁻¹ s⁻²
The dimension of pressure is ML⁻¹T⁻²; writing kg, m, s for M, L, T gives kg m⁻¹ s⁻².
Why the other options are wrong
- b kgm² s⁻²: In kg m² s⁻² the power of length is +2, while the dimension of pressure ML⁻¹T⁻² has −1.
- c kgms⁻²: In kg m s⁻² the power of length is +1, but pressure ML⁻¹T⁻² has −1 because pressure is force ÷ area.
- d kgm² s⁻³: In kg m² s⁻³ the powers of length and time are +2 and −3; the dimension of pressure ML⁻¹T⁻² differs.
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