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Assertion: Magnetic force between two sh...

Assertion: Magnetic force between two short magnets, when they are co-axial follows inverse square law of distance.
Reason: The magnetic forces between two poles do not follow inverse square law of distance.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true and reason is not the correct explanation of assertion.

C

If assertion is ture but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we will evaluate both the assertion and the reason separately. ### Step 1: Understanding the Assertion The assertion states that the magnetic force between two short magnets, when they are co-axial, follows the inverse square law of distance. - **Magnetic Force Between Co-Axial Magnets**: The formula for the magnetic force \( F \) between two short magnets when they are aligned along the same axis is given by: \[ F = \frac{B^2}{2\mu} \cdot A \] where \( B \) is the magnetic induction in the gap between the magnets, \( \mu \) is the permeability of free space, and \( A \) is the contact surface area. - **Conclusion on Assertion**: This formula does not show that the force varies with the square of the distance \( R \). Therefore, the assertion is **incorrect**. ### Step 2: Understanding the Reason The reason states that the magnetic forces between two poles do not follow the inverse square law of distance. - **Magnetic Force Between Poles**: The force \( F \) between two magnetic poles can be expressed as: \[ F = \frac{\mu Q_1 Q_2}{4\pi R^2} \] where \( Q_1 \) and \( Q_2 \) are the strengths of the magnetic poles and \( R \) is the distance between them. - **Conclusion on Reason**: This formula indicates that the force between two magnetic poles does indeed follow the inverse square law of distance. Therefore, the reason is also **incorrect**. ### Final Conclusion Both the assertion and the reason are incorrect.

To analyze the given statements, we will evaluate both the assertion and the reason separately. ### Step 1: Understanding the Assertion The assertion states that the magnetic force between two short magnets, when they are co-axial, follows the inverse square law of distance. - **Magnetic Force Between Co-Axial Magnets**: The formula for the magnetic force \( F \) between two short magnets when they are aligned along the same axis is given by: \[ F = \frac{B^2}{2\mu} \cdot A ...
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