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JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Calorimetry

  • question_answer
    A stationary object at 4°C and weighing 3.5 kg falls from a height of 2000 m on a snow mountain at 0°C. If the temperature of the object just before hitting the snow is 0°C and the object comes to rest immediately \[(g=10\,m/{{s}^{2}})\] and (latent heat of ice\[=3.5\times {{10}^{5}}\,joule/\sec \]), then the object will melt [BHU 2001]

    A)            2 kg of ice                              

    B)            200 gm of ice

    C)            20 gm ice                               

    D)            2 gm of ice

    Correct Answer: B

    Solution :

                       Suppose m kg of ice melts then by using \[\underset{(\text{Joules})}{\mathop{W}}\,=\underset{\text{(Joules)}}{\mathop{H}}\,\]                    Þ \[Mgh=mL\] Þ \[3.5\times 10\times 2000=m\times 3.5\times {{10}^{5}}\]            Þ \[m=0.2\,kg=200\,gm\]


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