If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{I^2}$ are
If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{I^2}$ are
- A
$M{L^2}{T^{ - 2}}$
- B
Not expressible in $MLT$
- C
$ML{T^{ - 2}}$
- D
${M^2}{L^2}{T^{ - 2}}$
Similar Questions
Let $[ {\varepsilon _0} ]$ denote the dimensional formula of the permittivity of vacuum. If $M =$ mass, $L=$ length, $T =$ time and $A=$ electric current, then:
Let $[ {\varepsilon _0} ]$ denote the dimensional formula of the permittivity of vacuum. If $M =$ mass, $L=$ length, $T =$ time and $A=$ electric current, then:
- [JEE MAIN 2013]
Which of the following pairs of physical quantities has the same dimensions
Which of the following pairs of physical quantities has the same dimensions
Whose dimensions is $M{L^2}{T^{ - 1}}$
Whose dimensions is $M{L^2}{T^{ - 1}}$
A neutron star with magnetic moment of magnitude $m$ is spinning with angular velocity $\omega$ about its magnetic axis. The electromagnetic power $P$ radiated by it is given by $\mu_{0}^{x} m^{y} \omega^{z} c^{u}$, where $\mu_{0}$ and $c$ are the permeability and speed of light in free space, respectively. Then,
A neutron star with magnetic moment of magnitude $m$ is spinning with angular velocity $\omega$ about its magnetic axis. The electromagnetic power $P$ radiated by it is given by $\mu_{0}^{x} m^{y} \omega^{z} c^{u}$, where $\mu_{0}$ and $c$ are the permeability and speed of light in free space, respectively. Then,
- [KVPY 2017]
Match List $-I$ with List $-II$
List $-I$
List $-II$
$A$.
Coefficient of Viscosity
$I$.
$[M L^2T^{–2}]$
$B$.
Surface Tension
$II$.
$[M L^2T^{–1}]$
$C$.
Angular momentum
$III$.
$[M L^{-1}T^{–1}]$
$D$.
Rotational Kimeatic energy
$IV$.
$[M L^0T^{–2}]$
Match List $-I$ with List $-II$
| List $-I$ | List $-II$ | ||
| $A$. | Coefficient of Viscosity | $I$. | $[M L^2T^{–2}]$ |
| $B$. | Surface Tension | $II$. | $[M L^2T^{–1}]$ |
| $C$. | Angular momentum | $III$. | $[M L^{-1}T^{–1}]$ |
| $D$. | Rotational Kimeatic energy | $IV$. | $[M L^0T^{–2}]$ |
- [JEE MAIN 2024]