First slide

Radiation

Question

A body takes t minutes to cool from 62°C to 61°C when the surrounding temperature is 30°C. The time taken by the body to cool from 46°C to 45.5°C is

Moderate

A

greater than t minutes
B

equal to t minutes
C

less than t minutes
D

equal to t/2 minutes

Solution

Applying Newton's law of cooling
$ms (\frac{62 - 61}{t}) \propto (\frac{62 + 61}{2} - 30)$
and $ms (\frac{46 - 45 \cdot 5}{t_{1}}) \propto (\frac{46 + 45 \cdot 5}{2} - 30)$
Solving, we get
$\begin{array}{l} t_{1} = t \end{array}$

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