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If mass, length and acceleration is take...

If mass, length and acceleration is taken as base quantities in a system then dimension of length in dimensional formula of energy is :

Text Solution

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The correct Answer is:
1
`E=[ML^(2)T^(-2)]=[MLLT^(-2)]=[MLA]`
where `A=[LT^(-2)]=` Acceleration
`:.` Dimensions of `[L]` is 1 in dimensional formula for energy.
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Knowledge Check

  • Dimensional formula of Acceleration

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

  • If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:

    A
    `FT^(2)`
    B
    `F^(-1)A^(2)T^(-1)`
    C
    `FA^(2)T`
    D
    `AT^(2)`

  • If force, length and time are taken as fundamental units, then the dimensions of mass will be

    A
    `[F^(1)L^(2)T^(-2)]`
    B
    `[F^(1)L^(-1)T^(2)]`
    C
    `[F^(0)L^(1)T^(-2)]`
    D
    `[F^(1)L^(1)T^(-1)]`

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