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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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