2. Questions Bank
  3. 12th Class
  4. Physics
  5. Electrostatics & Capacitance

12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electrostatic Potential and Capacitance

  • question_answer
    If 64 identical spheres of charge q and capacitance C each are combined to form a Large sphere. The charge and capacitance of the large sphere is:

    A) \[64q,\,C\]                     

    B) \[16q,\,4C\]

    C) \[64q,\,4C\]                   

    D) \[16q,\,64C\]

    Correct Answer: C

    Solution :

    (c) \[64q,\,4C\] 64 drops have formed a single drop of radius R.    Volume of large sphere \[=64\times \]Volume of small sphere \[\therefore \,\,\frac{4}{3}\pi {{R}^{2}}=64\times \frac{4}{3}\pi {{r}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,R=4r\] and \[{{Q}_{total}}=64q\] \[C'4\pi {{\varepsilon }_{0}}R\Rightarrow C'\left( 4\pi {{\varepsilon }_{0}} \right).4r\] \[\Rightarrow \,\,\,\,\,\,\,C'=4C\]


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