Paragraph: The nuclear charge ( Ze ) is non-uniformly distributed within a nucleus of radius R . The charge density ρ ( r ) [charge per unit volume] is dependent only on the radial distance r from the

Question

Paragraph: The nuclear charge ( Ze ) is non-uniformly distributed within a nucleus of radius R . The charge density ρ ( r ) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction. Question: The electric field within the nucleus is generally observed to be linearly dependent on r . This implies

TestHub · Accepted Answer

In case of solid sphere of charge of uniform volume density. $E = \frac{1}{4 π ε _{0}} \cdot \frac{q}{R ^{3}} \cdot r or E \propto r$ Thus, for $E$ to be linearly dependent on $r$ , volume charge density should be constant. or $a = R$ $∴$ correct option is (c).

Physics - Electrostatics Question with Solution | TestHub

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