MasteryExams
General Science • PhysicsHard

What is the dimensional formula for the coefficient of thermal conductivity?

A. [M L T^-3 K^-1]✓ Correct Answer
B. [M L^2 T^-2 K^-1]
C. [M L^2 T^-3 K^-2]
D. [M L T^-2 K^-1]

💡 Solution & Explanation

Thermal conductivity is derived from Fourier's law of heat conduction, where heat flow per unit time is proportional to area and temperature gradient. Dimensional analysis yields [M L T^-3 K^-1] by substituting the fundamental dimensions of mass, length, time, and thermodynamic temperature. Understanding these derivations helps solve numerical problems related to heat transfer.

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