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Assertion : An electron is not deflected...

Assertion : An electron is not deflected on passing through certain region of space. This observation confirms that there is no magnetic field in that region.
Reason : The deflection of electron depends on angle between velocity of electron and direction of magnetic field.

A

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

B

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

C

If assertion is true but reason is false.

D

If assertion is false but reason is true

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The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. **Assertion:** An electron is not deflected on passing through a certain region of space. This observation confirms that there is no magnetic field in that region. **Reason:** The deflection of the electron depends on the angle between the velocity of the electron and the direction of the magnetic field. ### Step-by-Step Solution: 1. **Understanding the Assertion:** - The assertion states that an electron is not deflected in a certain region of space. This implies that there are no forces acting on the electron that would cause it to change its direction. - According to the principles of electromagnetism, an electron will not be deflected if there is no magnetic field present or if the magnetic field is oriented in such a way that it does not exert a force on the electron. 2. **Analyzing the Reason:** - The reason provided states that the deflection of an electron depends on the angle between its velocity and the direction of the magnetic field. - The force acting on a charged particle moving in a magnetic field is given by the Lorentz force equation: \( F = q(\mathbf{v} \times \mathbf{B}) \), where \( q \) is the charge of the particle, \( \mathbf{v} \) is its velocity, and \( \mathbf{B} \) is the magnetic field. - The cross product \( \mathbf{v} \times \mathbf{B} \) indicates that the force (and thus the deflection) is dependent on the sine of the angle between the velocity vector and the magnetic field vector. If the angle is 0° (parallel) or 180° (anti-parallel), the sine is 0, resulting in no force and hence no deflection. 3. **Conclusion:** - The assertion is true because if the electron is not deflected, it suggests that there is no magnetic field present. - The reason is also true because the deflection indeed depends on the angle between the velocity of the electron and the magnetic field. - Since both the assertion and reason are true, the assertion supports the reason. ### Final Answer: Both the assertion and reason are true, and the assertion correctly explains the reason.

To solve the question, we need to analyze the assertion and the reason provided. **Assertion:** An electron is not deflected on passing through a certain region of space. This observation confirms that there is no magnetic field in that region. **Reason:** The deflection of the electron depends on the angle between the velocity of the electron and the direction of the magnetic field. ### Step-by-Step Solution: ...
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