JEE Main & Advanced Sample Paper JEE Main Sample Paper-44

  • question_answer
    A beaker full of hot water is kept in a room. If it cools from \[80{}^\circ C\] to \[75{}^\circ C\] in \[{{t}_{1}}\] min, from \[75{}^\circ C\] to \[70{}^\circ C\] in la min and from \[70{}^\circ C\] to \[65{}^\circ C\] in \[{{t}_{3}}\] min, then

    A) \[{{t}_{1}}={{t}_{2}}={{t}_{3}}\]                     

    B) \[{{t}_{1}}<{{t}_{2}}={{t}_{3}}\]

    C) \[{{t}_{1}}<{{t}_{2}}<{{t}_{3}}\]                     

    D)  \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]

    Correct Answer: C

    Solution :

    According to Newton's law of cooling, Rate of cooling cc Temperature difference of the body and its surroundings. As the temperature of the body approaches the room temperature, rate of cooling decreases. \[\therefore \]    \[{{t}_{1}}<{{t}_{2}}<{{t}_{3}}\]


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