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The dimensions of 1/2 epsilon(0)E^(2) (e...

The dimensions of `1/2 epsilon_(0)E^(2) (epsilon_(0)=` permittivity of free space, `E=` electric field) is

A

`[MLT^(-1)]`

B

`[ML^(-1)T^(-2)]`

C

`[MLT^(-2)]`

D

`[ML^(2)T^(-1)]`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The dimension of ((1)/(2))epsilon_(0)E^(2) ( epsilon_(0) : permittivity of free space, E electric field

    A
    (a) `MLT^(-1)`
    B
    (b) `ML^(2)T^(2)`
    C
    ( c ) `ML^(-1)T^(-2)`
    D
    ( d ) `ML^(2)T^(-1)`

  • The dimensions of 1/2 in_(0) E^(2) ( in_(0) : permittivity of free space, E: electric field) is-

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

  • The dimensions of (1)/(2) in_(0) E^(2) , where in_0 is permittivity of free space and E is electric field, is :-

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

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    epsilon_(0)E^(2) has the dimensions of ( epsilon_(0)= permittivity of free space, E= electric field) Here k= Boltzmann consant T= absolute temperature R= universal gas constant.

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