Units, Dimensions and Vectors — Formula Sheet
NIOS · Class 12 · Physics
6 formulas from Units, Dimensions and Vectors (NIOS Class 12 Physics) on one page, grouped by topic. Part of the NIOS Class 12 Physics syllabus.
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Formulas and Key Relations
Dimensions of Physical Quantities
[M L T] represents dimensions
Applications of Dimensional Analysis
Dimensional Equation Checking: Check if both sides have same dimensions
Deriving Physical Relations: If x ∝ aᵐ·bⁿ, then equate dimensions and solve for m and n
Unit Conversion: Multiply by conversion factor (dimension preservation)
1 metre = distance light travels in vacuum in 1/299,792,458 seconds
1 second = 9,192,631,770 vibrations of ¹³³Cs atom between its hyperfine ground state levels
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