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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    An apple gives 21 kJ energy to a boy. How much height he can climb by using this energy. If his efficiency is 28%? (mass of boy 40 kg)

    A)  22.5 m                                 

    B)  15 m    

    C)         10m                     

    D)         5m

    Correct Answer: B

    Solution :

    Here : Energy of one apple = 2112 J                 \[=21\times {{10}^{3}}J\] Efficiency of the boy = 28% = 0.28 Mass of the boy m = 40 kg Here the actual energy consumed by the boy is given by as \[=0.28\,\times 21000=5880\]]          ...(1) and the energy consumed by the boy in climbing h meter height is given by \[=mgh=40\times 9.8\times h\,J\]                                           ...(2) Equating equations (1) and (2) we get                 \[40\times 9.8\times h\,=\,5880\,J\]                 \[h=\frac{5880}{40\times 9.8}=15\,m\]


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