If G Be the Gravitational Constant... |JEE Main 2024

JEE MAIN 2024

05-04-2024 S1

Question

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

Select the correct option:

Pressure gradient per unit mass

Force per unit mass

Gravitational potential

Energy per unit mass

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✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & {[\mathrm{uG}]=\left[\left(\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right)\left(\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right)\right]} \\ & {[\mathrm{uG}]=\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-4}\right]} \\ & {[\sqrt{\mathrm{uG}}]=\left[\mathrm{L}^1 \mathrm{~T}^{-2}\right]}\end{aligned}$

Question Tags

JEE Main

Physics

Medium

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