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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.
Q. The electric field at r = R is
  • a)
    independent of a
  • b)
    directly proportional to a
  • c)
    directly proportional to a2
  • d)
    inversely proportional to a
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The nuclear charge (Ze) is non-uniformly distributed within a nucleus ...
When the point of observation is on the surface of sphere then the whole charge inside the sphere (when distributed symmetrically about the centre) behaves as a point charge on the centre. Therefore until the charge distribution is symmetrical about the centre it does not matter what is the ratio a/R. The electric field remains constant and is equal to
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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.Q.The electric field at r = R isa)independent of ab)directly proportional to ac)directly proportional to a2d)inversely proportional to aCorrect answer is option 'A'. Can you explain this answer?
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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.Q.The electric field at r = R isa)independent of ab)directly proportional to ac)directly proportional to a2d)inversely proportional to aCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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.Q.The electric field at r = R isa)independent of ab)directly proportional to ac)directly proportional to a2d)inversely proportional to aCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Q.The electric field at r = R isa)independent of ab)directly proportional to ac)directly proportional to a2d)inversely proportional to aCorrect answer is option 'A'. Can you explain this answer?.
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