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An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120° at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0. Which of the following statements is (are) true?
  • a)
    The electric flux through the shell is √3Rλ / ε0
  • b)
    The z-component of the electric field is zero at all the points onthe surface of the shell
  • c)
    The electric flux through the shell is √2Rλ / ε0
  • d)
    The electric field is normal to the surface of the shell at all points.
Correct answer is option 'A,B'. Can you explain this answer?
Verified Answer
An infinitely long thin non-conducting wire is parallel to the z-axis ...
Charge inside the spherical shell = λ. 2Rcos 30º = λR √3
So, electric flux = 
 
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An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120°at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0. Which of the following statements is (are) true?a)The electric flux through the shell is √3Rλ/ε0b)The z-component of the electric field is zero at all the points onthe surface of the shellc)The electric flux through the shell is √2Rλ/ε0d)The electric field is normal to the surface of the shell at all points.Correct answer is option 'A,B'. Can you explain this answer?
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An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120°at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0. Which of the following statements is (are) true?a)The electric flux through the shell is √3Rλ/ε0b)The z-component of the electric field is zero at all the points onthe surface of the shellc)The electric flux through the shell is √2Rλ/ε0d)The electric field is normal to the surface of the shell at all points.Correct answer is option 'A,B'. 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 An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120°at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0. Which of the following statements is (are) true?a)The electric flux through the shell is √3Rλ/ε0b)The z-component of the electric field is zero at all the points onthe surface of the shellc)The electric flux through the shell is √2Rλ/ε0d)The electric field is normal to the surface of the shell at all points.Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120°at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0. Which of the following statements is (are) true?a)The electric flux through the shell is √3Rλ/ε0b)The z-component of the electric field is zero at all the points onthe surface of the shellc)The electric flux through the shell is √2Rλ/ε0d)The electric field is normal to the surface of the shell at all points.Correct answer is option 'A,B'. Can you explain this answer?.
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