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9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    If \[F\]is the force between two bodies of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] at certain separation, then what is the force between \[\sqrt{5}{{m}_{1}}\]and \[\sqrt{3}{{m}_{2}}\] at the same separation?

    A) \[\sqrt{5}F\]                  

    B)        \[F/\sqrt{15}\]

    C) \[\sqrt{15}F\]                  

    D) \[F\]

    Correct Answer: C

    Solution :

     Given\[F=\frac{{{m}_{1}}{{m}_{2}}}{{{d}^{2}}}\] If\[{{m}_{2}}=\sqrt{3{{m}_{2}}};\,\,{{m}_{1}}=\sqrt{5}{{m}_{1}}\], then\[{{F}^{1}}=\frac{G{{m}_{1}}{{m}_{2}}}{{{d}_{2}}}\] \[{{F}^{1}}=\frac{G\sqrt{5}{{m}_{1}}\times \sqrt{3}{{m}_{2}}}{{{d}^{2}}}=\sqrt{15}F\]


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