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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, B is in a circular orbit 2R around the earth. The ratio of their kinetic energies,  \[{{\text{T}}_{\text{A}}}\text{/}{{T}_{B}},\]

    A) \[\frac{1}{2}\]                          

    B) 1

    C) 2                                 

    D) \[\sqrt{\frac{1}{2}}\]

    Correct Answer: B

    Solution :

    \[K{{E}_{A}}=\frac{1}{2}m\left( \frac{GM}{R} \right)\]
    \[K{{E}_{B}}=\frac{1}{2}(2m)\left( \frac{GM}{R} \right)\]
    \[\Rightarrow \]   \[\frac{KE}{K{{E}_{B}}}=1.\]


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