Dimensional Analysis — Formula Sheet
ICSE · Class 11 · Physics
9 formulas from Dimensional Analysis (ICSE Class 11 Physics) on one page, grouped by topic. Part of the ICSE Class 11 Physics syllabus.
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Formulas and Key Relations
1. Core Ideas
unit of velocity = (unit of length)^1 × (unit of time)^-1
[L^a M^b T^c]
2. Dimensional Formulae of Important Quantities
Area = [M^0 L^2 T^0]
Density = [ML^-3 T^0]
Force = [MLT^-2]
Work = [ML^2T^-2]
Power = [ML^2T^-3]
4. Unit Conversion by Dimensions
n2 = n1 (M1/M2)^a (L1/L2)^b (T1/T2)^c
Key relations
For a simple pendulum, dimensional analysis gives T = k sqrt(l/g), and experimentally k = 2 pi, so T = 2 pi sqrt(l/g).
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