Which one of the following is the SI unit of the thermal conductivity

June 1, 2025 by rawan239

Which one of the following is the SI unit of the thermal conductivity of a material?

[amp_mcq option1=”Wm’K~!” option2=”Wm/K” option3=”WmYK™?” option4=”Js’m’K” correct=”option1″]

This question was previously asked in

UPSC NDA-2 – 2015

Download PDF Attempt Online

The correct answer is A) Wm’K~!.

The SI unit of thermal conductivity (k) is Watt per meter-Kelvin (W/(m·K)) or W·m⁻¹·K⁻¹. This unit comes from Fourier’s law of heat conduction, which states that the rate of heat flow (Q) is proportional to the area (A), the temperature gradient (dT/dx), and the thermal conductivity (k): Q = -k * A * (dT/dx). Rearranging for k, k = Q / (A * (dT/dx)). The units are W / (m² * (K/m)) = W / (m * K) = W m⁻¹ K⁻¹. Assuming the symbols in option A represent W m⁻¹ K⁻¹, it is the correct unit.

Js⁻¹ is equivalent to Watt (W), as Watt is Joules per second. Therefore, W m⁻¹ K⁻¹ is also equivalent to J s⁻¹ m⁻¹ K⁻¹. Option D is Js’m’K, which, if interpreted as J s⁻¹ m⁻¹ K, is incorrect as it lacks the K⁻¹ term. Option B, Wm/K, is W m K⁻¹, which is also incorrect. Option C is uninterpretable. Option A, Wm’K~!, is the closest representation of W m⁻¹ K⁻¹.

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