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JEE Mains · Physics · STD 12 - 1. Electric charges and fields

यहाँ आरेख में, किसी गोलाकार कोश (शैल) के कोटर के भीतर दो बिन्दु-आवेश \(+ Q\) तथा \(- Q\) दर्शाये गये हैं। ये आवेश कोटर की सतह के निकट इस प्रकार रखे गये हैं कि, एक आवेश कोश के केन्द्र की एक ओर है और दूसरा केन्द्र के विपरीत दूसरी ओर। यदि, भीतरी तथा बाहरी सतहों (पृष्ठों) पर, पृष्ठ आवेश क्रमशः \(\sigma_{1}\) तथा \(\sigma_{2}\) और नेट आवेश क्रमशः \(Q_{1}\) तथा \(Q _{2}\) हो तो :

  1. A \(\begin{array}{l}
    {\sigma _1}\, \ne \,0,\,\,{Q_1}\, = \,0\\
    {\sigma _2}\, = \,0,\,\,{Q_2}\, = \,0
    \end{array}\)
  2. B \(\begin{array}{l}
    {\sigma _1}\, \ne \,0,\,\,{Q_1}\, = \,0\\
    {\sigma _2}\, \ne \,0,\,\,{Q_2}\, = \,0
    \end{array}\)
  3. C \(\begin{array}{l}
    {\sigma _1}\, = \,0,\,\,{Q_1}\, = \,0\\
    {\sigma _2}\, = \,0,\,\,{Q_2}\, = \,0
    \end{array}\)
  4. D \(\begin{array}{l}
    {\sigma _1}\, \ne \,0,\,\,{Q_1}\, \ne \,0\\
    {\sigma _2}\, \ne \,0,\,\,{Q_2}\, \ne \,0
    \end{array}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\begin{array}{l}
{\sigma _1}\, = \,0,\,\,{Q_1}\, = \,0\\
{\sigma _2}\, = \,0,\,\,{Q_2}\, = \,0
\end{array}\)

Step-by-step Solution

Detailed explanation

Inside the cavity net charge is zero. \(\therefore \quad Q_{1}=0\) and \(\sigma_{1}=0\) There is no effect of point charges \(+Q\) \(Q\) and induced charge on inner surface on the outer surface. \(\therefore \quad Q_{2}=0\) and \(\sigma_{2}=0\)
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