Dimensions of $\frac{1}{{{\mu _0}{\varepsilon _0}}}$, where symbols have their usual meaning, are
Dimensions of $\frac{1}{{{\mu _0}{\varepsilon _0}}}$, where symbols have their usual meaning, are
- [AIEEE 2003]
- A
$[L{T^{ - 1}}]$
- B
$[{L^{ - 1}}T]$
- C
$[{L^{ - 2}}{T^2}]$
- D
$[{L^2}{T^{ - 2}}]$
Similar Questions
Out of the following, the only pair that does not have identical dimensions is
Out of the following, the only pair that does not have identical dimensions is
The quantities $A$ and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of
The quantities $A$ and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of
Match List $I$ with List $II$
List $I$
List $II$
$A$ Torque
$I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$
$B$ Magnetic fileld
$II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$
$C$ Magneti moment
$III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$
$D$ permeability of free space
$IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$
Choose the correct answer from the options given below :
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Torque | $I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$ |
| $B$ Magnetic fileld | $II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$ |
| $C$ Magneti moment | $III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$ |
| $D$ permeability of free space | $IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$ |
Choose the correct answer from the options given below :
- [JEE MAIN 2024]
A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = Ay + B\tan Cz$, where $A,\,B$ and $C$ are constants. Which of the following do not have the same dimensions
A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = Ay + B\tan Cz$, where $A,\,B$ and $C$ are constants. Which of the following do not have the same dimensions
Out of the following which pair of quantities do not have same dimensions
Out of the following which pair of quantities do not have same dimensions