Q. Consider that $\sigma_s$, $k_B$, b represents Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of $\sigma_s k_B^{-1} b$ is
A) [L⁻¹ T⁻¹ K⁻⁴]
B) [L⁻¹ T⁻¹ K⁻²]
C) [L⁻¹ K⁻²]
D) [L⁻¹ T⁻¹ K⁻³]
Explanation
[Solution from source] σ = [M T⁻³ K⁻⁴]; k_B = [M L² T⁻² K⁻¹]; b = [L K]. σ k_B⁻¹ b = [M T⁻³ K⁻⁴][M⁻¹ L⁻² T² K][L K] = [L⁻¹ T⁻¹ K⁻²]. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.