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NEET PHYSICSEasy

Dimensional formula ML2T−3ML^2T^{-3} represents

A

Force

B

Power

C

Energy

D

Work

Step-by-Step Solution

  1. Definition: Power (PP) is defined as the rate of doing work, given by the formula P=WorkTimeP = \frac{\text{Work}}{\text{Time}}.
  2. Dimensional Analysis:
  • The dimensional formula for Work (WW) is [ML2T−2][ML^2T^{-2}] (derived from Force ×\times Displacement: [MLT−2]⋅[L][MLT^{-2}] \cdot [L]).
  • The dimensional formula for Time (tt) is [T][T].
  • Substituting these into the power formula: [P]=[ML2T−2][T]=[ML2T−3][P] = \frac{[ML^2T^{-2}]}{[T]} = [ML^2T^{-3}]
  1. Comparison with Options:
  • Force: [MLT−2][MLT^{-2}]
  • Power: [ML2T−3][ML^2T^{-3}]
  • Energy: [ML2T−2][ML^2T^{-2}] (Same as Work)
  • Work: [ML2T−2][ML^2T^{-2}]
  1. Conclusion: The dimensional formula [ML2T−3][ML^2T^{-3}] corresponds to Power. This is explicitly listed in the NCERT Physics Appendices.
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