In Class 11 Physics (Units and Dimensions), calculating the dimensional formula of various physical quantities is a fundamental skill. Let's derive the dimensional formula for Linear Momentum.
Momentum Formula: Mass × Velocity (P = mv).
Dimensional Formula: [M L T⁻¹].
SI Unit: kg·m/s.
To find the dimensions, we first need the standard formula of the quantity.
Now, we write the fundamental dimensions for Mass (M), Length (L), and Time (T).
Substitute these dimensions back into the momentum formula:
The SI unit for momentum based on these dimensions is kg·m/s.
The dimensional formula of linear momentum is [M¹ L¹ T⁻¹]. It is derived from its formula, Mass x Velocity.
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