Match List I with List II

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Question

${[	ilde{	au}]=[\overrightarrow{\mathrm{r}} 	imes \overrightarrow{\mathrm{F}}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-2}ight]}$
${[\mathrm{F}]=[\math

Vedclass · Accepted Answer

$A-IV, B-III, C-II, D-I$

Vedclass · Answer

${[	ilde{	au}]=[\overrightarrow{\mathrm{r}} 	imes \overrightarrow{\mathrm{F}}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-2}ight]}$
${[\mathrm{F}]=[\mathrm{qVB}]}$
$\Rightarrow \mathrm{B}=\left(\frac{\mathrm{F}}{\mathrm{qV}}ight)=\left[\frac{\mathrm{MLT}^{-2}}{\mathrm{ATLT}^{-1}}ight]=\left[\mathrm{MA}^{-1} \mathrm{~T}^{-2}ight]$
${[\mathrm{M}]=[\mathrm{I} 	imes \mathrm{A}]=\left[\mathrm{AL}^2ight]}$
$\mathrm{B}=\frac{\mu_0}{4 \pi} \frac{\mathrm{Idl} \sin 	heta}{\mathrm{r}^2}$
$\Rightarrow[\mu]=\left[\frac{\mathrm{Br}^2}{\mathrm{Idl}}ight]=\left[\frac{\mathrm{MT}^{-2} \mathrm{~A}^{-1} 	imes \mathrm{L}^2}{\mathrm{AL}}ight]$
$=\left[\mathrm{MLT}^{-2} \mathrm{~A}^{-2}ight]$

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	$IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$

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