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NEET Sample Paper NEET Sample Test Paper-22

  • question_answer
    A hollow sphere of radius 1R is charged to volt, V and another smaller sphere of radius, R is charged to V/2 volt. Then the smaller sphere is placed inside the bigger sphere without changing the net charge on each sphere. The potential difference between the two spheres would be:

    A) \[3\frac{V}{2}\]                                 

    B) \[\frac{V}{4}\]                       

    C) \[\frac{V}{2}\]                       

    D)       V  

    Correct Answer: B

    Solution :

    \[\frac{V}{2}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{q}{R}\text{(q=charge}\,\text{on}\,\text{smaller}\,\text{sphere)}\] \[\therefore \]\[q=(2\pi {{\varepsilon }_{0}}R)V\] \[PD+\frac{q}{4\pi {{\varepsilon }_{0}}}\left[ \frac{1}{R}-\frac{1}{2R} \right]=\frac{VR}{2}\left( \frac{1}{2R} \right)=\frac{V}{4}\] Hence, the correction option is [b].


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