Dimensional formula of Stefan Boltzmann constant

Explanation:

• Dimensional Formula: The expression which shows how and which of the base quantities represents a physical quantity is called the dimensional formula of the given physical quantity.

• The Stefan-Boltzmann constant (represented by the symbol σ) relates the total energy radiated per unit surface area by a blackbody per unit of time and the fourth power of its absolute temperature. The dimensional formula for the Stefan-Boltzmann constant can be obtained by substituting the dimensions of energy, temperature, and length into the formula:
• σ = (Energy radiated per unit area per unit time) / (Temperature⁴)
• The dimensions of energy are [M L² T⁻²], the temperature is [K], and the length is [L]. Substituting these values, we get:
• σ = [M L² T⁻²/TL²] / [K⁴]
• Rearranging, we get: σ = M1L0T-3K-4