STANDARD Physics Dimensional Analysis MCQ Question
If momentum (p), area (A) and time (t) are taken to be fundamental quantities, then energy has dimensional formula
[p¹A⁻¹t⁻¹]
[p²A¹t¹]
[p¹A⁻¹/₂t¹]
[p¹A¹/₂t⁻¹]
Correct Answer
Detailed Explanation
Using dimensional analysis, the energy E is expressed as E = kpᵃAᵇtᶜ. Solving the equations derived from dimensional homogeneity, we find a = 1, b = 1/2, and c = -1. Thus, the dimensional formula for energy is [p¹A¹/₂t⁻¹].
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