Quantity with Different Dimensions – Rankers Physics

Dimensions: Practice Problem & Solution

Which of the following quantities, which one has dimensions different from the remaining three? [1989]
Energy per unit volume
Force per unit area
Product of voltage and charge per unit volume
Angular momentum

Solution Explained:

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

Energy per unit volume, force per unit area, and product of voltage and charge per unit volume all have dimensions \(ML^{-1}T^{-2}\). Angular momentum has dimensions \(ML^2T^{-1}\), which is different.

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