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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 17

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

    A) \[2kg\]              

    B)        \[200g\]   

    C) \[20g\]              

    D)        \[2g\]

    Correct Answer: B

    Solution :

    Suppose m kg of ice melts then by using \[\underset{(Joule)}{\mathop{W}}\,=\underset{(Joule)}{\mathop{Q}}\,\] \[\Rightarrow \,MgH=mL\Rightarrow 3.5\times 10\times 2000=m\times 3.5\times {{10}^{5}}\] \[\Rightarrow \,\,m=0.2kg=200gm\]


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