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JEE Main & Advanced AIEEE Solved Paper-2012

  • question_answer
    The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of 'g' and 'R' (radius of earth) are \[10\,m/{{s}^{2}}\] and 6400 km respectively. The required energy for this work will be:   AIEEE  Solved  Paper-2012

    A) \[6.4\times {{10}^{11}}\] Joules   

    B) \[6.4\times {{10}^{8}}\] Joules

    C) \[6.4\times {{10}^{9}}\] Joules     

    D) \[6.4\times {{10}^{10}}\] Joules

    Correct Answer: D

    Solution :

    \[W=0-\left( -\frac{GMm}{R} \right)=\frac{GMm}{R}\] \[=g{{R}^{2}}\times \frac{m}{R}=mgR\] \[=1000\times 10\times 6400\times {{10}^{3}}\] \[=64\times {{10}^{9}}J\] \[=6.4\times {{10}^{10}}\]s


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