Which one of the following physical quantities has the same dimensions as that of Planck’s constant h?

Planck’s constant (h) has the dimensions of energy multiplied by time, which is physically defined as 'action' [3]. In SI units, this is expressed as Joule-seconds (J·s), which simplifies to kg·m²/s [3]. Angular momentum is defined as the product of linear momentum and distance (r × p), resulting in the same dimensional formula [M L² T⁻¹] and the same SI unit of J·s or kg·m²/s [3]. In quantum mechanics, the fundamental unit of angular momentum is often expressed in terms of the reduced Planck constant (ħ = h/2π), highlighting their identical physical dimensions. In contrast, linear momentum has dimensions [M L T⁻¹], force is measured in Newtons [M L T⁻²], and potential energy is measured in Joules [M L² T⁻²], none of which match the dimensions of Planck’s constant [3].

Sources

1. [3] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 5: Exploring Forces > 5.3 Are Forces an Interaction Between Two or More Objects? > p. 65