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In the expression ๐‘‘โข๐‘„๐‘‘โข๐‘ก=โˆ’๐‘˜โข๐ดโข๐‘‘โข๐‘‡๐‘‘โข๐‘ฅโ€‹, what does the magnitude of the temperature gradient |๐‘‘โข๐‘‡๐‘‘โข๐‘ฅ|โ€‹โ€‹ represent?

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Question

In the expression \[\frac{dQ}{dt}=-kA\frac{dT}{dx}\]โ€‹, what does the magnitude of the temperature gradient \[|\frac{dT}{dx}|\]โ€‹โ€‹ represent?

Options

  • Rate of heat change with time

  • Total temperature difference of the rod

  • Average temperature of the rod

  • Temperature change per unit length

MCQ
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Solution

Temperature change per unit length

Explanation:

The temperature gradient represents how much temperature changes per unit distance along the material.

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