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The dimensional formula for electric fie...

The dimensional formula for electric field is

A

`["ML"^(2)"T"^(-3)"A"^(-1)]`

B

`["ML"^(2)"T"^(-3)"A"^(-2)]`

C

`["MLT"^(-3)"A"^(-1)]`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
The unit of electric fields `E` is
`=("Newton")/("Coulomb")=("kg - metre sec"^(-2))/("ampere - sec") ="kg - metre sec"^(-3)"amp"^(-1)`
`therefore" "` Dimensions of electric field are `["MLT"^(-3)"A"^(-1)]`.
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Knowledge Check

  • 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)]`

  • The dimensional formula for energy is

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

  • The dimensional formula of electric intensity is

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

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