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NEET PHYSICSEasy

The dimensions of emf in MKS are:

A

[M0L2T−3A−1][M^0L^2T^{-3}A^{-1}]

B

[MLT−3A−1][MLT^{-3}A^{-1}]

C

[ML2T−2A−1][ML^2T^{-2}A^{-1}]

D

[ML2T−3A−1][ML^2T^{-3}A^{-1}]

Step-by-Step Solution

  1. Identify the Formula: Electromotive force (emf, ε\varepsilon) is defined as the work done per unit charge, which can be expressed as ε=Wq\varepsilon = \frac{W}{q} .
  2. Determine Dimensions:
  • The dimensional formula for work (WW) is [ML2T−2][ML^2T^{-2}] .
  • The dimensional formula for electric charge (qq) is [AT][AT] .
  1. Calculate Final Dimensions: Substituting these into the formula gives: [ε]=[ML2T−2][AT]=[ML2T−3A−1][\varepsilon] = \frac{[ML^2T^{-2}]}{[AT]} = [ML^2T^{-3}A^{-1}] .
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