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C and R denote the capacitance and resis...

C and R denote the capacitance and resistance respectively. What is the dimensional formula of CR?

A

`[M^(0)L^(0)T^(0)]`

B

`[M^(0)L^(0)T^(1)]`

C

`[M^(0)L^(0)T^(-1)]`

D

`[M^(1)L^(0)T^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
b
`C=(Q)/(V)andR=(V)/(I)`
`therefore CR=(Q)/(V)xx(V)/(I)=(Q)/(I)=(Ixxt)/(I)=t`
`therefore [CR]=[T^(1)]=[M^(0)L^(0)T^(1)]`
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