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Question

Which one of the following has the same dimension as that of time, if $$R$$ is resistance, $$L$$ inductance and $$C$$ is capacitance?


A
RC
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B
LC
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C
LR
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D
All of the above
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Solution

The correct option is D All of the above
A) $$RC=ML^2T^{-3}I^{-2}.M^{-1}L^{-2}T^4I^2=T$$
B) $$\sqrt {LC}=\sqrt{ML^2T^{-2}I^{-2}.M^{-1}L^{-2}T^4I^2}=\sqrt {T^2}=T$$
C) $$\dfrac {L}{R}=\dfrac {ML^2T^{-2}I^{-2}}{ML^2T^{-3}I^{-2}}=T$$

Physics

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