AIIMS2019Physics-Thermodynamics

AIIMS 2019 Physics Statistical Mechanics MCQ Question

Type: MCQ-fact-Easy-Class 11

The dimensional formula of Boltzmann's constant is:

$[\text{ML}^2\text{T}^{-2}\text{Q}^{-1}]$

$[\text{ML}^2\text{T}^{-2}]$

$[\text{ML}^0\text{T}^{-2}\text{Q}^{-1}]$

$[\text{ML}^{-2}\text{T}^{-1}\text{Q}^{-1}]$

Correct Answer

Option A

Detailed Explanation

Boltzmann's constant $K$ is expressed in units of $\frac{m^2 \cdot kg}{s^2 \cdot K}$ , which corresponds to the dimensions of energy per temperature unit, specifically $ML^2T^{-2}\theta^{-1}$ . This indicates that it relates energy (in joules) to temperature (in Kelvin), making it a fundamental constant in statistical mechanics that connects macroscopic and microscopic physical properties. Since all other options are marked as N/A, they do not provide valid alternatives or additional information regarding Boltzmann's constant.

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