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10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    Two positively charged particles each of mass \[\text{1}.\text{7 }\times \text{ 1}{{0}^{-\text{27}}}\]kg and carrying a charge of \[\text{1}.\text{6 }\times \text{ 1}{{0}^{-\text{19}}}\]are placed at a distance r apart. If each one experiences a repulsive force equal to its weight, then r is

    A)  1.17 m                 

    B)  1.71m

    C)  0.117m             

    D)         0.171m

    Correct Answer: C

    Solution :

     Here,    \[F=9\times 109\frac{{{(1.6\times {{10}^{-19}})}^{2}}}{{{r}^{2}}}\] But                         \[F=mg=(1.7\times {{10}^{-27}})\times 9.8\] \[\therefore \]\[(1.7\times {{10}^{-27}})\times (9.8)=9\times {{10}^{9}}\frac{{{(1.6\times {{10}^{-19}})}^{2}}}{{{r}^{2}}}\] Solving, we get \[r=0.117\,\,metre\]


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