STANDARDPhysics-Units and Measurements
STANDARD Physics Dimensional Analysis MCQ Question
Type: MCQ-conceptual-Medium-Class 11
A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. What will be value of 5 J in this new system?
A
5αβ²γ⁻²
B
5α⁻¹β⁻²γ²
C
5α⁻²β⁻¹γ⁻²
D
5α⁻¹β²γ²
Correct Answer
Option B
Detailed Explanation
Joule is a unit of energy. The dimensional formula of energy is [ML²T⁻²]. By comparing with the new units, we find that the value of 5 J in the new system is 5α⁻¹β⁻²γ².
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