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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^(0)]`

B

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

C

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

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)`
`:. [CV^(2)]= [U]= [M^(1)L^(2)T^(-2)A^(0)]`
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Knowledge Check

  • If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

    A
    `[ML^(0)L^(0)T]`
    B
    `[M^(0)L^(0)T^(0)]`
    C
    `[M^(0)L^(0)T^(-1)]`
    D
    Not expressible in terms of `[MLT]`

  • The dimensional formula of electric flux is

    A
    `[M^(1) L^(2) T^(-2) A^(-1)]`
    B
    `[M^(-1) L^(3) T^(-3) A]`
    C
    `[M^(1) L^(3) T^(-3) A^(-1)]`
    D
    `[M^(1) L^(-3) T^(-3) A^(-1)]`

  • Dimensional formula of capacitance is

    A
    `M^(-1)L^(-2)T^(4)A^(2)`
    B
    `ML^(2)T^(2)A^(-2)`
    C
    `MLT^(-4)A^(2)`
    D
    `M^(-1)L^(-2)T^(-4)A^(-2)`

    • Similar Questions

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

    In the equation A = 3BC^(2) , A and C have dimensions of capacitance and magnetic induction respectively. In MKSQ system, the dimensional formula of is

    If v-(A)/(t)+Bt^(2)+Ct^(3) where v is velocity, t is time and A, B and C are constants, then the dimensional formula of B is

    The dimensional formula for electric field is

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