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Electrostatics question

2023 · 12 Apr · Shift 1 · Q53
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Electrostatics question

2023 · 12 Apr · Shift 1 · Q53

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If an electric dipole of dipole moment 30×10−5 C m30 \times 10^{-5} ~\mathrm{C} ~\mathrm{m}30×10−5 C m is enclosed by a closed surface, the net flux coming out of the surface will be zero. Reason R : Electric dipole consists of two equal and opposite charges. In the light of above, statements, choose the correct answer from the options given below.
  1. A
    A is true but R is false
  2. B
    A is false but R is true
  3. C
    Both A and R are true but R is NOT the correct explanation of A
  4. D
    Both A and R are true and R is the correct explanation of A
View written solutionFree

Correct answer: D

  1. Apply Gauss’s law

    The net electric flux through any closed surface is Φ=Qenclosedε0\Phi = \frac{Q_{\text{enclosed}}}{\varepsilon_0}Φ=ε0​Qenclosed​​

    where QenclosedQ_{\text{enclosed}}Qenclosed​ is the total charge inside the closed surface.

  2. Analyze the dipole

    An electric dipole consists of two charges: +q and −q+q \text{ and } -q+q and −q of equal magnitude and opposite sign.

    Therefore, the total enclosed charge is Qenclosed=(+q)+(−q)=0Q_{\text{enclosed}} = (+q) + (-q) = 0Qenclosed​=(+q)+(−q)=0

  3. Find the net flux

    Using Gauss’s law, Φ=0ε0=0\Phi = \frac{0}{\varepsilon_0} = 0Φ=ε0​0​=0

    So, the Assertion A is true.

  4. Check the Reason R

    The statement "Electric dipole consists of two equal and opposite charges" is correct.

    So, Reason R is true.

  5. Check whether R explains A

    Since the dipole has equal and opposite charges, the total enclosed charge is zero. By Gauss’s law, this makes the net flux through the closed surface zero.

    Hence, R is the correct explanation of A.

  6. Correct option

    D\boxed{\text{D}}D​

  7. Comparison with stored answer

    Stored correct answer: D\text{D}D

    Derived answer: D\text{D}D

    They match.

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