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NEET
Exam
NEET
Subject
Physics
Chapter
Electrostatics

NEET · Physics · Electrostatics

Paragraph: The nuclear charge (Ze) is non-uniformly distributed...

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

Options

  1. Aa=0a=0
  2. Ba=R2a=\frac{R}{2}
  3. Ca=Ra=R
  4. Da=2R3a=\frac{2 R}{3}

Correct answer

C. a=Ra=R

Step-by-step solution

In case of solid sphere of charge of uniform volume density. E=14πε0⋅qR3⋅\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q}{R^3} \cdotr  or \text{ or }E \propto r Thus, for EE to be linearly dependent on rr, volume charge density should be constant. or a=R∴\quad a=R\therefore correct option is (c). Paragraph: The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R . The charge density (r)
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