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

  • question_answer
    Find the gravitational force between two protons kept at a separation of 1 femtometre (1 femtometre\[=\text{1}{{0}^{-\text{15}}}\text{ m}\]). The mass of a proton is\[1.67\times {{10}^{-27}}kg\].

    A)  \[1.8\times {{10}^{-42}}N\]                       

    B)  \[1.8\times {{10}^{-29}}N\]

    C)  \[1.8\times {{10}^{-39}}N\]                       

    D)  \[1.86\times {{10}^{-34}}N\]

    Correct Answer: D

    Solution :

       The gravitational force between the two protons is given by, \[F=G\frac{{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}\] \[G=6.67\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\] \[{{m}_{1}}={{m}_{2}}=1.67\times {{10}^{-2}}kg\] \[r={{10}^{-15}}m\] \[F=6.67\times {{10}^{-11}}\times \frac{1.67\times {{10}^{-27}}\times 1.67\times {{10}^{-27}}}{{{({{10}^{-15}})}^{2}}}N\] \[=1.86\times {{10}^{-34}}N\]


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