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Units & Measurements: Formula Bank
A complete retrieval-ready collection of dimensional formulas, units, and conversion constants. Essential for competitive exam prep.
Master Dimensional Formulas
Dimensions represent the fundamental nature of a physical quantity. Use this table as your primary reference for solving JEE and NEET problems.
| Physical Quantity | Fundamental Relation | Dimensional Formula | SI Unit |
|---|---|---|---|
| Linear Momentum | p = mv | [MLT⁻¹] | kg m s⁻¹ |
| Impulse | J = F × Δt | [MLT⁻¹] | N s |
| Pressure / Stress | P = F / A | [ML⁻¹T⁻²] | Pa (N m⁻²) |
| Work / Energy | W = F × d | [ML²T⁻²] | J |
| Power | P = W / t | [ML²T⁻³] | W |
| Torque | τ = r × F | [ML²T⁻²] | N m |
| Angular Momentum | L = mvr | [ML²T⁻¹] | kg m² s⁻¹ |
| Surface Tension | T = F / l | [MT⁻²] | N m⁻¹ |
| Coefficient of Viscosity | η = F / (A × dv/dx) | [ML⁻¹T⁻¹] | Pa s |
| Universal Gravitational Const | G = Fr² / m₁m₂ | [M⁻¹L³T⁻²] | N m² kg⁻² |
Strategy: Dimensional Elimination
In JEE Main and NEET, if you aren't sure of a formula, check the dimensions of the options. Often, 2 or 3 options will have the wrong dimensions for the quantity asked. This is a "Topper's Shortcut" that saves minutes of calculation.
Master Physics Derivations with Dr. Deepak Kumar
Don't just memorize tables. Learn the logic to derive any dimensional formula in under 20 seconds. Join our 1-on-1 mentorship program.
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