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Find the dimensions of capacitance....

Find the dimensions of capacitance.

Text Solution

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`U=1/2q^2/C`
`:. [C]=[q^2/U]=[(A^2T^2)/(ML^2T^-2)]`
`=[M^-1L^-2T^4A^2]`
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Knowledge Check

  • The dimensions of capacitance are

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

  • The dimensions of capacitance are

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

  • Which of the following represents the dimension of capacitance ?

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

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