Which one of the following physical quantities has the same dimensions as that of Plancks constant h?

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Q: 20 (CDS-II/2016)

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

question_subject: 

Science

question_exam: 

CDS-II

stats: 

0,27,57,38,34,4,8

keywords: 

{'physical quantities': [0, 0, 0, 1], 'same dimensions': [0, 0, 0, 1], 'linear momentum': [0, 0, 3, 5], 'potential energy': [0, 0, 1, 4], 'angular momentum': [0, 0, 2, 7], 'force': [0, 0, 0, 2]}

The correct answer is option 2, Angular momentum.

Planck`s constant, denoted as h, is a fundamental constant in quantum mechanics that relates the energy of a photon with its frequency. It has dimensions of energy times time, which can also be written as Joule-seconds (J·s) or kg·m^2/s.

Angular momentum, denoted as L, is a physical quantity that measures the rotational motion of an object. It has dimensions of mass times velocity times radius, which can also be written as kg·m^2/s.

Comparing the dimensions of Planck`s constant and angular momentum, we can see that they have the same units of kg·m^2/s. Therefore, they have the same dimensions.

It is important to note that the other options listed do not have the same dimensions as Planck`s constant. Linear momentum has dimensions of mass times velocity (kg·m/s), force has dimensions of mass times acceleration (kg·m/s^2), and potential energy has dimensions of energy (J). So, the correct answer is indeed option 2, Angular momentum.