Which of the following physical quantities has the dimension [M L−³]?

Correct option is B

Sol.

Correct Ans is (B) Density

Explanation:

The dimension of density is given by [M L⁻³], which represents mass per unit volume.

• Density (ρ) = Mass/Volume = [M]/[L³] = [M L⁻³].

Information Booster:

• Energy (A): The dimension of energy is [M L² T⁻²] (mass × distance² / time²), not [M L⁻³].
• Pressure (C): The dimension of pressure is [M L⁻¹ T⁻²] (force per unit area), not [M L⁻³].
• Work (D): The dimension of work is also [M L² T⁻²], which is the same as energy.

Conclusion:

• Density is the only physical quantity among the options with the dimension [M L⁻³].