Dimensional Analysis

Mediumphysics

Which combination has dimensions of pressure?

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Force/Area

Energy/Volume

Momentum/(Area·Time)

All of these

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Subject: physics
Chapter: physics and measurement
Topic: dimensional analysis
Difficulty: Medium
Year: 2025

Solution

Correct Answer:

All of these

Standard dimensions for Pressure: $[M L^{- 1} T^{- 2}]$ .

Force/Area: $[M L T^{- 2}] / [L^{2}] = [M L^{- 1} T^{- 2}]$ . (Correct)
Energy/Volume: $[M L^{2} T^{- 2}] / [L^{3}] = [M L^{- 1} T^{- 2}]$ . (Correct)
Momentum/(Area·Time): $[M L T^{- 1}] / ([L^{2}] \cdot [T]) = [M L T^{- 1}] / [L^{2} T] = [M L^{- 1} T^{- 2}]$ . (Correct) All three physical interpretations lead to the same dimensions.

This medium difficulty physics question is from the chapter physics and measurement, covering the topic of dimensional analysis. It appeared in the 2025 exam.

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Dimensional Analysis

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