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

  • question_answer
                                                    The gravitational force between two bodies is decreased by 36% when the distance between them is increased by 3m. The initial distance between them is

    A)  6 m                       

    B)  9 m  

    C)  12 m    

    D)  15 m

    Correct Answer: C

    Solution :

       \[F\propto \frac{1}{{{d}^{2}}},\]given \[F'=\frac{64F}{100}F,d'=(d+3)\] \[\therefore \frac{F}{F'}=\frac{{{(d+3)}^{2}}}{{{d}^{2}}}\] \[\Rightarrow \frac{64F}{100F}=\frac{{{d}^{2}}}{{{(d+3)}^{3}}}\Rightarrow \frac{8}{10}=\frac{d}{d+3}\] \[8d+24=10d\] \[2d=24\Rightarrow d=12m\]    


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