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9th Class Science Gravitation and Floatation Question Bank Gravitation Conceptive Objective Problems

  • question_answer
    Two planets have radii r and 2r and densities are d and 4d respectively. The ratio of their acceleration due to gravities is

    A)  1 : 8      

    B)  8 : 1  

    C)  4 : 1                      

    D)  1 : 4

    Correct Answer: A

    Solution :

       \[g=\frac{4}{3}\pi lGR\Rightarrow \frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{\rho }_{1}}}{{{\rho }_{2}}}\times \frac{{{R}_{1}}}{{{R}_{2}}}=\frac{d}{4d}\times \frac{r}{2r}=\frac{1}{8}\] \[\therefore g\therefore {{g}_{2}}=1:8\]             


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