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If L,R, C denote inductance, resistance ...

If L,R, C denote inductance, resistance and capacitance, respectively .Then dimensions of `(1)/(R^(2)C)` are

A

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

B

`[MLT^(-1)]`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
d
`(L)/(R ) =` time constant of `L-R` circuit `M^(0)L^(0)T]`
`RC =` time constant of `R-C` circuit `= [M^(0)L^(0)T]`
The dimensions of
`(L^(2))/(R^(2)C) = ((L)/(R)) xx (1)/(RC) = ([M^(0)L^(0)T])/([M^(0)L^(0)T]) = [M^(0)L^(0)T^(0)]`.
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Knowledge Check

  • If L and R denote inductance and resistance , respectively , then the dimensions of L//R are

    A
    ` M^(1) L^(0) T^(0) Q^(-1)`
    B
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  • Let l, r, c, and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of (l)/(rcv) in SI units will be :

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    B
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    C
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  • If L and R denote inductance and resistance respectively, then the dimension of L//R is :

    A
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    B
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    D
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