Question

For a small temperature difference between the body and the surroundings, the relation between the rate of heat loss $R$ and the temperature of the body is depicted by

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Rate of loss of heat $\left(R\right)\propto \text{temperature difference}$
$\Rightarrow R\propto (\theta -{\theta }_1)$
where ${\theta }_1$ is temperature of the surroundings
$\Rightarrow R=k(\theta -{\theta }_1)=k\theta -k{\theta }_1$
($k$ is constant)
On comparing it with $y=mx+C$, it is observed that the graph between $R$ and $\theta$ will be a straight line with slope $k$ and intercept $-k{\theta }_1$.