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The dimensions of (mu0 in 0)^(-1//2) are...

The dimensions of `(mu_0 in _0)^(-1//2)` are :-

A

`[L^((1)/(2))T^(-(1)/(2))]`

B

`[L^(-1)T]`

C

`[LT^(-1)]`

D

`[L^(-(1)/(2))T^((1)/(2))]`

Text Solution

Verified by Experts

The correct Answer is:
C

`(mu_0 in_0)^(-1//2)`= c = speed of light
`(mu_0 in_0)^(-1//2) = [L^(1)T^(-1)]`
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Knowledge Check

  • The dimensions of mu_(0) are

    A
    `[M^(1)L^(-1//2)T^(1//2)]`
    B
    `[M^(1)L^(1//2)T^(-1//2)]`
    C
    `[L^(-1)T]`
    D
    `[M^(1)L^(1)T^(-2)A^(-2)]`
  • The dimensions of (mu_(0)epsilon_(0))^(-1//2) are

    A
    `[L^(1//2) T^(-1//2)]`
    B
    `[L^(-1)T]`
    C
    `[LT^(-1)]`
    D
    `[L^(1//2)T^(1//2)]`
  • The dimesions of (mu_(0) epsilon_(0))^(-1//2) are

    A
    `[L^(-1)T]`
    B
    `[LT^(-1)]`
    C
    `[L^(-1//2)T^(1//2)]`
    D
    `[L^(1//2)T^(-1//2)]`
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