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Q.

A bucket full of hot water is kept in a room and it cools from 75^circ C,to,70^circ C  in T1  minute, from 70^circ C,to,65^circ C  in T2  minute and from 65^circ C,,to,,60^circ C  in T3 minute, then

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a

{T_1} = {T_2} = {T_3}

b

{T_1} < {T_2} < {T_3}

c

{T_1} > {T_2} > {T_3}

d

{T_1} < {T_2} > {T_3}

answer is B.

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Detailed Solution

The,,water,,cools,,from,,{theta _1},to,{theta _2}

theta = frac{{{theta _1} + {theta _2}}}{2}

- frac{{dtheta }}{{dt}} propto (theta - {theta _0}),where,{theta _0} = temperature,,of,,surroundings

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A bucket full of hot water is kept in a room and it cools from   in T1  minute, from   in T2  minute and from   in T3 minute, then