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12th Class Physics Electrostatics & Capacitance Question Bank MCQ - Electrostatic Potential and Capacitance

  • question_answer
    The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard: (NCERT EXEMPLAR) \[{{S}_{1}}\]: At any point inside the sphere, electric intensity is zero. \[{{S}_{2}}\]: At any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?

    A) \[{{S}_{1}}\]is true but \[{{S}_{2}}\] is false

    B) Both \[{{S}_{1}}\]and \[{{S}_{2}}\]are false

    C) \[{{S}_{1}}\] is true, \[{{S}_{2}}\]is true and \[{{S}_{1}}\] is the cause of \[{{S}_{2}}\]

    D) \[{{S}_{1}}\]is true, \[{{S}_{2}}\]is also true but the statements are independent

    Correct Answer: C

    Solution :

    (c) \[{{S}_{1}}\] is true, \[{{S}_{2}}\]is true and \[{{S}_{1}}\]is the cause of \[{{S}_{2}}\] Potential at any point inside a charged conducting sphere = potential on the surface, \[V=\frac{kq}{R}=100\,V\] Now, \[E=-\frac{dV}{dr}=0\]               (\[\because \]V is constant)


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