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Show that the unit of 1/sqrt(epsilon the...

Show that the unit of `1/sqrt(epsilon theta mu theta)` is `(m//s)`.

Text Solution

Verified by Experts

The correct Answer is:
A
`c = 1/sqrt (epsilon _0 mu_0)`= speed of light in vacuum
`:.` Unit of `1/sqrt (epsilon _0 mu_0)` should be the unit of `c` or speed or m/s.
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Knowledge Check

  • SI units, the dimensions of sqrt((epsilon_0)/(mu_0)) is

    A
    `AT^(-3)ML^(3//2)`
    B
    `A^(-1)TML^3`
    C
    `AT^2M^-1L^-1`
    D
    `A^2T^3M^-1L^-2`

  • The dimension of 1/(sqrt(epsilon_(0)mu_(0))) is that of

    A
    Velocity
    B
    Time
    C
    Capacity
    D
    Distance

  • If theta lies in the second quadrant. Then the value of sqrt((1-sin theta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta)) is equal to :

    A
    `2 sec theta`
    B
    `-2 sec theta`
    C
    `2"cosec"theta`
    D
    2