A bucket full of hot water cools from 75 -C to 70 -C in time T 1- from 70 -C to 65 -C in time T 2 and from 65 -C to 60 -C in time T 3- Then

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Conjugate of a Complex Number

A bucket full...

Question

A bucket full of hot water cools from $75^{\circ} C$ to $70^{\circ} C$ in time $T_{1}$ , from $70^{\circ} C$ to $65^{\circ} C$ in time $T_{2}$ and from $65^{\circ} C$ to $60^{\circ} C$ in time $T_{3}$ . Then

T_{1} = T_{2} = T_{3}

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T_{1} > T_{2} > T_{3}

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T_{1} < T_{2} < T_{3}

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T_{1} > T_{2} < T_{3}

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Solution

The correct option is D. $T_{1} < T_{2} < T_{3}$ .
Smaller the temperature difference between the body and the surroundings, smaller is the rate of cooling and more is the time taken to cool. Or, in other words, hotter the body, faster it cools.
Therefore, $T_{1} < T_{2} < T_{3}$

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