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1 Units and Dimensions

If C, R, L and I denote capacity, resistance, inductance and electric current respectively, the quantitates having the same dimensions of time are

a) CR b) L/ R c) √(LC) d) LI²

1) a and b only
2) a and c only
3) a and d only
4) a, b and c only

Option 1

Option 2

Option 3

Option 4 Solution:

Sol :
Dimensional formula of capacity [M^-1L^-2T⁴A²]
Dimensional formula of Resistance [ML²T^-3A^-2]
Dimensional formula of Inductance [ML²T^-2A^-2]
Dimensional formula of Current =[M⁰L⁰T⁰A] ==> Energy

Solving we get a, b, c having the same dimensions of time

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