Question

which physical quantity have the dimensions of ML3T-2​

Answer 1

the unit of physical quantity is ML3T-2=Kg m^3/s^2

Answer 2

Given :

A dimension $ML^3T^{-2}$ .

To Find :

Which physical quantity have the dimensions of $ML^3T^{-2}$ .

Solution :

We know , Force in electrostatics is given by :

$F=\dfrac{1}{4\pi \epsilon_o}\dfrac{q_1q_2}{r^2}$

We know , units of force is :

$F=[MLT^{-2}]$

Also , units of $r^2=[L^2]$ .

Therefore , $\dfrac{q_1q_2}{4\pi \epsilon_o}=Fr^2$

So , units of $\dfrac{q_1q_2}{4\pi \epsilon_o}$ is :

$D=[MLT^{-2}][L^2]\\\\D=[ML^3T^{-2}]$

Therefore , $\dfrac{q_1q_2}{4\pi \epsilon_o}$ is physical quantity having dimension of $ML^3T^{-2}$ .

Learn More :

Units and dimensions

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