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.
Dimensional Formula of Power — [ML²T⁻³]
Dimensional formula of power is [ML²T⁻³]. Derived from P = W/t or P = Fv. SI unit: Watt (W) = J/s. Full derivation with examples.
Dimensional Formula of Pressure
Dimensional formula of Pressure is [ML⁻¹T⁻²]. Derived from P = F/A. SI unit is Pascal (Pa). Full derivation with examples.
Dimensional Formula of Resistance (R)
Learn how to derive the dimensional formula of electrical resistance using Ohm's Law and the definition of electric potential.
Dimensional Formula of Surface Tension
Learn the dimensional formula of surface tension. Step-by-step derivation and understanding of its SI unit.
Dimensional Formula of Velocity and Acceleration
Learn the basic dimensional formula of velocity and acceleration. The starting point for all kinematics and dynamics dimensional analysis.
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