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Electrostatics question

2018 · Shift 2 · Q39
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Electrostatics question

2018 · Shift 2 · Q39

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −1
An infinitely long thin non-conducting wire is parallel to the zzz-axis and carries a uniform line charge density λ.\lambda .λ. It pierces a thin non-conducting spherical shell of radius RRR in such a way that the arc PQPQPQ subtends an angle 120∘{120^ \circ }120∘ at the center OOO of the spherical shell, as shown in the figure. The permittivity of free space is ∈0.{ \in _0}.∈0​. Which of the following statement is (are) true? JEE Advanced 2018 Paper 2 Offline Physics - Electrostatics Question 48 English
  1. A
    The electric flux through the shell is 3Rλ/∈0\sqrt 3 R\lambda /{ \in _0}3​Rλ/∈0​
  2. B
    The zzz-component of the electric field is zero at all the points on the surface of the shell
  3. C
    The electric flux through the shell is 2Rλ/∈0\sqrt 2 R\lambda /{ \in _0}2​Rλ/∈0​
  4. D
    The electric field is normal to the surface of the shell at all points
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