If mathrm{G} be the gravitational constant an | vedclass

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Question

${[\mathrm{uG}]=\left[\left(\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right)\left(\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right)\right]}$

Vedclass · Accepted Answer

Force per unit mass

Vedclass · Answer

${[\mathrm{uG}]=\left[\left(\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right)\left(\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right)\right]}$
${[\mathrm{uG}]=\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-4}\right]}$
${[\sqrt{\mathrm{uG}}]=\left[\mathrm{L}^1 \mathrm{~T}^{-2}\right]}$
Option $(2)$ is correct

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	$IV$ $(ML ^2 T ^{-1})$

If $\mathrm{G}$ be the gravitational constant and $\mathrm{u}$ be the energy density then which of the following quantity have the dimension as that the $\sqrt{\mathrm{uG}}$

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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 $IV$ $(ML ^2 T ^{-1})$

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