STANDARDPhysics-Units and Measurements
STANDARD Physics Dimensional Analysis MCQ Question
Type: MCQ-conceptual-Medium-Class 11
If momentum (p), area (A) and time (t) are taken to be fundamental quantities, then energy has dimensional formula
A
[p¹A⁻¹t⁻¹]
B
[p²A¹t¹]
C
[p¹A⁻¹/₂t¹]
D
[p¹A¹/₂t⁻¹]
Correct Answer
Option D
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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