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If L,C,R denote the inductance, Capacita...

If `L,C,R` denote the inductance, Capacitance and resistance repectively, the dimenstional formula of `C^(2)LR` is :

A

`ML^(2)T^(-1)I^(0)`

B

`M^(0)L^(0)T^(3)I^(0)`

C

`M^(-1)L^(-2)T^(6)I^(2)`

D

`M^(0)L^(0)T^(2)I^(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `C^(2)LR=(q^(2))/(V^(2))xxV.(dt)/(dI)xx(V)/(I)`
`=q^(2)xx(dt)/((dq)/(dt))xx(I)/((q)/(t))`
Dimensionally`=(dt)^(2)xxt~~t^(3)=M^(0)L^(0)T^(3)I^(0).`
Hence correct choice is `(b)`.
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