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Dimensional formula for conductance is .......

(a) M-1 L2T-3 A2

(b) M1 L2T-2 A1

(c) M1 L-2 T3 A2

(d) M-1 L-2 T3 A2

1 Answer

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Best answer

(d) M–1L–2T3A 

Explanation:

conductance = [1 / (Resistance)] = 1/R

R = (V/I) & V = (W/Q) = (W / It)…..[as V = (work / charge)

= {(work) / (current × time)}]

  ∴ V = ([M1L2T–2] / [A1T]) = [M–1L2T–3A–1]

 Hence R = ([M1L2T–3A–1] / [A]) = [M1L2T–3A–2]

  ∴ conductance = (1 / [M1L2T–3A–2]) = [M–1L–2T3A2]   

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