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Q.

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

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a

Greater than T minutes

b

Equal to T minutes

c

Less than T minutes

d

None of these

answer is B.

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Detailed Solution

According to Newton's law of coolingθ1−θ2t∝θ1+θ22−θFor the first condition62−61T∝62+612−30 ………….(i)and for the second condition46−45.5t∝46+45.52−30 ……..(ii)By solving Eqs. (i) and (ii), we get t = T minutes.
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