RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    The gravitation of earth is 10 m/s. If the mass of earth is 80 times, the mass of moon and radius of earth is 4 times the radius of moon, then the gravitation at moon will be

    A)  \[\text{1 }m/{{s}^{2}}\]          

    B)  \[2\text{ }m/{{s}^{2}}\]

    C)  \[\text{3 }m/{{s}^{2}}\]           

    D)  None of these

    Correct Answer: B

    Solution :

     \[g=\frac{GM}{{{R}^{2}}}\] \[\Rightarrow \] \[\frac{g'}{g}=\frac{M'}{M}\left( \frac{R}{R'} \right)=\frac{{{M}^{2}}}{80M'}.{{\left( \frac{4R'}{R'} \right)}^{2}}=\frac{1}{5}\] \[\Rightarrow \] \[g'=\frac{g}{5}=2\,m/{{s}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner