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Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    A stationary object at\[4{}^\circ C\]and weighing 3.5 kg falls from a height 2000 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 before comes to rest immediately\[(g=10\text{ }m/{{s}^{2}})\]and latent heat of ice \[=3.5\times {{10}^{5}}\]J/s), then the object

    A)  2kg of ice           

    B)  200 g of ice

    C)  20g ice             

    D)  2g ice

    Correct Answer: B

    Solution :

     Law of conservation of energy is valid. Potential energy is the energy possesed by a body due. to its weight. It is given by \[PE=mgh\] where, m is mass, g acceleration due to gravity and h is height This potential energy is utilized in giving latent heat to ice \[mL=mgh\] Given \[~m=3.5kg,\text{ }g=10m/{{s}^{2}},\text{ }h=2000m\] \[L=3.5\times {{10}^{5}}J/s\] \[m=\frac{mgh}{L}\] \[m=\frac{3.5\times 10\times 200}{3.5\times {{10}^{5}}}\] \[m=02\]kg of ice Also,    \[1\,kg={{10}^{3}}g\] \[m=200\text{ }g\] of ice


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