12th Class Physics Electric Charges and Fields Question Bank MCQ - Electric Charges and Fields

  • question_answer
    Two small balls each having a positive charge Q Coulombs are suspended by two insulating strings of equal length L meters from a hook fixed to a stand. The whole setup is taken in a satellite into space, where there is no gravity. What is the angle between the string and tension in the string?

    A)                 \[180{}^\circ ,\,\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}^{2}}}{{{\left( 2L \right)}^{2}}}\]            

    B)                          \[90{}^\circ ,\,\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}^{2}}}{{{L}^{2}}}\]

    C)                          \[180{}^\circ ,\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}^{2}}}{2{{L}^{2}}}\]

    D)                                         \[180{}^\circ ,\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{4L}\]

    Correct Answer: A

    Solution :

                    \[180{}^\circ ,\,\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}^{2}}}{{{\left( 2L \right)}^{2}}}\] In a satellite, there is a condition of weightlessness.                                                                       \[\therefore \,\,\,\,mg=0\] Due to electrostatic force of repulsion between the balls, the string would become horizontal.                                                                                \[\therefore\] Angle between string                                                                            \[=180{}^\circ\] Tension in string = Force of repulsion                                  \[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{{{\left( 2L \right)}^{2}}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner