12th Class Physics Electric Charges and Fields Question Bank Case Based (MCQs) - Electric Charges and Fields

  • question_answer
    What charge would be required to electrify a sphere of radius 25 cm so as to get a surface charge density of \[\frac{3}{\pi }C{{m}^{-2}}\]?

    A) \[0\centerdot 75\,C\]

    B) \[7\centerdot 5\,C\]

    C) \[75\,C\]

    D) zero

    Correct Answer: A

    Solution :

    \[r=25\,cm\,=0\,.\,25\,m,\,\sigma =\frac{3}{\pi }C/{{m}^{2}}\]. As, \[\sigma =\frac{q}{4\pi {{r}^{2}}}\] \[\Rightarrow q=4\pi \times {{\left( 0.25 \right)}^{2}}\times \frac{3}{\pi }\] \[=0.75\,C\]


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