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  4. Two circular discs A and B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?

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Q. Two circular discs A and B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?Physics Question Image

Thermal Properties of Matter

Solution:

From to Newton's law of cooling, rate of cooling is given by
$\left(\frac{- d \theta}{ dt }\right)=\frac{ eA \sigma}{ mc }\left(\theta^{4}-\theta_{0}^{4}\right)$
Where, $e$ is specific heat of material.
$\left(\frac{- d \theta}{ dt }\right) \propto \frac{1}{ c }$
-ve sign shows that temperature decreases.
$\Rightarrow $ For $A ,$ rate of colling $\left(\frac{ d \theta}{ dt }\right)$ is large
$\therefore $ Specific heat of $A$ is smaller