AIIMS AIIMS Solved Paper-2002

  • question_answer
    The radius of earth is about 6400 km and that of mars is about 3200 km. The mass of the earth is about 10 times the mass of mars. An object weighs 200 N on earths surface, then its weight on the surface of mars will be:

    A)  80 N                     

    B)        40 N                                     

    C)  20 N                                     

    D)  8 N

    Correct Answer: A

    Solution :

    According to the law of gravitation, the force of attraction acting on the body due to earth is given by \[{{I}_{1}}\]                                   .....(1) Also from Newtons second law, we have \[{{I}_{2}}\]                                         ?....(2) \[\phi \] \[I={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos \phi \]                         ?....(3) \[\cos \phi =-1\] where \[\phi =\pi ,3\pi ,5\pi ,.................\] are gravity on earth and moon respectively. Also \[\phi =(2\pi +1)\pi \,n=1,2,3,..............\] and \[=\frac{2\pi }{\lambda }\times \] are masses of moon and earth, and \[\Rightarrow \] and \[=\frac{\lambda }{2\pi }\times (2n+1)\pi \] their radil. Given, \[=\frac{(2n+1)\lambda }{2}\] \[E=\sigma {{T}^{4}}\] \[\sigma \]   \[\frac{E}{E}=-\frac{2Q}{Q}\] \[\Rightarrow \]


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