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NEET
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Physics
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Units and Dimensions

NEET · Physics · Units and Dimensions

What is the SI unit of thermal resistance?

What is the SI unit of thermal resistance?

Options

  1. AK J−1\text{K J}^{-1}
  2. BW m−1K−1\text{W m}^{-1} \text{K}^{-1}
  3. CW K−1\text{W K}^{-1}
  4. DK W−1\text{K W}^{-1}

Correct answer

D. K W−1\text{K W}^{-1}

Step-by-step solution

Thermal resistance (RthR_{th}) is defined using the analogy to Ohm's law for heat transfer:

H=ΔTRthH = \dfrac{\Delta T}{R_{th}}

where HH is the heat current (rate of heat flow)andΔTand \Delta T is the temperature difference.

Rearranging the formula gives:

Rth=ΔTHR_{th} = \dfrac{\Delta T}{H}

The SI unit of temperature difference (ΔT\Delta T) is Kelvin (K\text{K}).
The SI unit of heat current (H=ΔQΔtH = \dfrac{\Delta Q}{\Delta t}) is Watt (W\text{W}).

Therefore, the SI unit of thermal resistance is K W−1\text{K W}^{-1}.

Answer: K W−1\text{K W}^{-1}
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