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If C be the capacitance and V be the ele...

If C be the capacitance and V be the electric potential ,then the dimensional formula of `CV^(2)` is

A

`M^(1)L^(2)T^(-2)A^(@)`

B

`M^(1)L^(1)T^(-2)A^(-1)`

C

`M^(0)L^(1)T^(-2)A^(@)`

D

`M^(1)L^(-3)T^(1)A^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Energy stored in a capacitor is
`u=(1)/(2)CV^(2)`
`therefore[CV^(2)]=[u]=[M^(1)L^(2)T^(-2)A^(@)]`
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Knowledge Check

  • The dimensional formula of latent heat is :

    A
    `M^(0)L^(2)T^(-2)`
    B
    `ML^(2)T^(-1)`
    C
    `MLT^(-1)`
    D
    `M^(0)L^(2)T^(-1)`

  • The dimensional formula for inductance is

    A
    `ML^(2)T^(-2)A^(-2)`
    B
    `ML^(2)TA^(-2)`
    C
    `ML^(2)T^(-1)A^(-2)`
    D
    `ML^(2)T^(-2)A^(-1)`

  • 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)`

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