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One day in the morning, Ramesh filled u...

One day in the morning, Ramesh filled up 1//3 bucket of hot water from geyser, to take bath, Remaining 2//3 was to be filled by cold water (at room temperature) to bring mixture to a comfortable temperature. Suddenly Ramesh had to attend to something which would take some times, say 5 -10 minutes before he could take bath. Now he had two options : (i) fill the remaining bucket completely by cold water and then attend to the work, (ii) first attend to the work and fill the remaining bucket just before taking bath. Which option do you think would have kept water warmer ? Explain.

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The option (i) is better to keep water warmer. Ac cording to Netwon's law of cooling, the rate of loss of heat is directly proportional to the difference of temperature beteen the body and the surroundings. It means if temp-difference is small, then rate of loss fo heat from water will be small and hecne it will remain warmer for longer time.
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