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Question

Question: Which of the following quantities has the SI unit kg m<sup>2</sup> s<sup>-3</sup> A<sup>-2</sup>?...

Which of the following quantities has the SI unit kg m2 s-3

A-2?

A

Resistance

B

Inductance

C

Capacitance

D

Magnetic Flux

Answer

Resistance

Explanation

Solution

m2s3A2=[ML2T3A2]=[ML2T2][A2T]=[ML2T2][AT][A]=WorkCharge×current=VoltageCurrent=Resistancem^{2}s^{- 3}A^{- 2} = \lbrack ML^{2}T^{3}A^{- 2}\rbrack = \frac{\lbrack ML^{2}T^{- 2}\rbrack}{\lbrack A^{2}T\rbrack} = \frac{\lbrack ML^{2}T^{- 2}\rbrack}{\lbrack AT\rbrack\lbrack A\rbrack} = \frac{Work}{Ch\arg e \times current} = \frac{Voltage}{Current} = {Re}sis\tan ce