CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

  • question_answer
    Three point charges are placed at the comers of an equilateral triangle. Assuming only electrostatic forces are acting. Then the system:

    A)  will be in equilibrium if the charges rotate about the centre of the triangle

    B)  can never be in equilibrium

    C)  will be in equilibrium if the charges have the same magnitudes but different signs

    D)  will be in equilibrium if the charges have  different  magnitude and different signs.

    Correct Answer: B

    Solution :

    No. of atoms in 10 gm of copper \[=\frac{6\times {{10}^{23}}\times 10}{63.5}=9.4\times {{10}^{22}}\] No. of \[\bar{e}\]transferred from one piece to other \[=\frac{9.4\times {{10}^{22}}}{{{10}^{6}}}=9.4\times {{10}^{16}}\] Charge on these electron \[\bar{e}=9.4\times {{10}^{16}}\times 1.6\times {{10}^{-19}}\] \[=15\times {{10}^{-3}}C\] equal but opposite charge will be on other piece \[\therefore \]  \[{{F}_{\text{attraction}}}=\frac{{{q}_{1}}{{q}_{2}}}{4\pi \,{{\varepsilon }_{0}}\,{{r}^{2}}}\] \[=\frac{{{(1.5\times {{10}^{-2}})}^{2}}\times 9\times {{10}^{9}}}{0.01}\] \[=2\times {{10}^{7}}\,N\]


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