If L and R are respectively the inductance an | vedclass

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Question

$E =\frac{1}{2} L i ^{2} \Rightarrow L =\frac{2 E }{ i ^{2}}$
dimension of $L=\frac{M L T^{-2}}{Q^{2}} \cdot T^{2}=M L T^{0} Q^{-2}$
$E = i ^{2} R T

Vedclass · Accepted Answer

${M^0}{L^0}T$

Vedclass · Answer

$E =\frac{1}{2} L i ^{2} \Rightarrow L =\frac{2 E }{ i ^{2}}$
dimension of $L=\frac{M L T^{-2}}{Q^{2}} \cdot T^{2}=M L T^{0} Q^{-2}$
$E = i ^{2} R T \Rightarrow R =\frac{ E }{ i ^{2} t }$
dimension of $R =\frac{ M L T ^{-2}}{ Q ^{2}} \cdot T ^{-1}= M L T ^{-1} Q ^{-2}$
$\left(\frac{L}{R}\right)=\frac{M L T^{0} Q^{-2}}{M L T^{-1} Q^{-2}}=[T]$

List $I$	List $II$
$A$ Spring constant	$I$ $(T ^{-1})$
$B$ Angular speed	$II$ $(MT ^{-2})$
$C$ Angular momentum	$III$ $(ML ^2)$
$D$ Moment of Inertia	$IV$ $(ML ^2 T ^{-1})$

List $I$	List $II$
$A$ Torque	$I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$
$B$ Magnetic fileld	$II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$
$C$ Magnetic moment	$III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$
$D$ Permeability of free space	$IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$

If $L$ and $R$ are respectively the inductance and resistance, then the dimensions of $\frac{L}{R}$ will be

Similar Questions

Identify the pair of physical quantities that have same dimensions

Match List $I$ with List $II$

List $I$ List $II$

$A$ Spring constant $I$ $(T ^{-1})$

$B$ Angular speed $II$ $(MT ^{-2})$

$C$ Angular momentum $III$ $(ML ^2)$

$D$ Moment of Inertia $IV$ $(ML ^2 T ^{-1})$

Choose the correct answer from the options given below

Dimensions of frequency are

The dimensional formula $[ML^0T^{-3}]$ is more closely associated with