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Paragraph: The nuclear charge ( Ze ) is non-uniformly distributed within a nucleus of radius R . The charge density (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

Options

  1. Aa=0
  2. Ba= R 2
  3. Ca=R
  4. Da= 2 R 3

Correct answer

C. a=R

Step-by-step solution

In case of solid sphere of charge of uniform volume density. E= 1 4 ₀ q R^3 r or E r Thus, for E to be linearly dependent on r , volume charge density should be constant. or a=R correct option is (c).

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