Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceMedium2 minPYQ_2008

PhysicsMediumsingle choice

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 at $r = R$ is

Options:

Answer:

Solution:

At $r = R$ , from Gauss's law or $E (4 π R^{2}) E = \frac{q _{net}}{ε _{0}} = \frac{Z e}{ε _{0}} = \frac{1}{4 π ε _{0}} \cdot \frac{Z e}{R ^{2}}$ $E$ is independent of ' $a$ ' $∴$ correct option is (a).

Stream:JEE_ADVSubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: PYQ_2008

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