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Assertion : The magnetic flux through a ...

Assertion : The magnetic flux through a closed surface containing a bar magnet is zero.
Reason : Gauss's law applies in the case of electric flux only.

A

A

B

B

C

C

D

D

Text Solution

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The correct Answer is:
To solve the given question, we will analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The magnetic flux through a closed surface containing a bar magnet is zero." - When a bar magnet is placed inside a closed surface, the magnetic field lines emerge from the north pole and enter the south pole. - For every magnetic field line that exits the closed surface from the north pole, there is a corresponding line that enters the surface at the south pole. - Therefore, the total magnetic flux through the closed surface is indeed zero because the number of lines entering equals the number of lines exiting. **Conclusion for Step 1:** The assertion is **true**. ### Step 2: Analyze the Reason The reason states that "Gauss's law applies in the case of electric flux only." - Gauss's law is a fundamental principle in electromagnetism that applies to both electric and magnetic fields. - For electric fields, Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface. - Similarly, Gauss's law for magnetism states that the magnetic flux through a closed surface is zero, which aligns with our assertion regarding the bar magnet. **Conclusion for Step 2:** The reason is **false**. ### Final Conclusion - The assertion is true, while the reason is false. Therefore, the correct answer to the question is that the assertion is correct, but the reason is incorrect.

To solve the given question, we will analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The magnetic flux through a closed surface containing a bar magnet is zero." - When a bar magnet is placed inside a closed surface, the magnetic field lines emerge from the north pole and enter the south pole. - For every magnetic field line that exits the closed surface from the north pole, there is a corresponding line that enters the surface at the south pole. - Therefore, the total magnetic flux through the closed surface is indeed zero because the number of lines entering equals the number of lines exiting. ...
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Knowledge Check

  • The net magnetic flux through any closed surface, kept in a magnetic field is

    A
    zero
    B
    `(mu_(0))/(4pi)`
    C
    `4pimu_(0)`
    D
    `(4mu_(0))/(pi)`
  • The net magnetic flux through any closed surface, kept in a magnetic field is

    A
    zero
    B
    `(mu_(0))/(4pi)`
    C
    `4pimu_(0)`
    D
    `(4mu_(0))/(pi)`
  • The electric flux through the surface

    A
    in fig. (iv) is the largest
    B
    in fig. (iii) is the least
    C
    in fig. (ii) is same as fig.(iii) but is smaller than fig.(iv)
    D
    Is the same for all the figures.
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