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Assertion (A): An alpha particle placed ...

Assertion (A): An alpha particle placed in a magnetic field will not experience any force, if it moves in the magnetic field parallel to field lines.
Reason (R): The force is zero if current and field are in the same direction.

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true but R is NOT the correct explanation of A

C

A is true but R is false.

D

A is false and R is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that an alpha particle placed in a magnetic field will not experience any force if it moves parallel to the field lines. - An alpha particle consists of 2 protons and 2 neutrons, giving it a positive charge. - The force experienced by a charged particle moving in a magnetic field is given by the equation: \[ F = Q \cdot (v \times B) \] - Here, \(F\) is the magnetic force, \(Q\) is the charge of the particle, \(v\) is the velocity vector, and \(B\) is the magnetic field vector. - If the particle moves parallel to the magnetic field lines, the angle (\(\theta\)) between \(v\) and \(B\) is 0 degrees. 2. **Calculating the Force**: - The formula for the magnetic force can be rewritten as: \[ F = Q \cdot v \cdot B \cdot \sin(\theta) \] - Since \(\theta = 0\), we have: \[ \sin(0) = 0 \] - Therefore, the force \(F\) becomes: \[ F = Q \cdot v \cdot B \cdot 0 = 0 \] - This confirms that the assertion is correct: an alpha particle will not experience any force if it moves parallel to the magnetic field lines. 3. **Understanding the Reason (R)**: - The reason states that the force is zero if the current and the magnetic field are in the same direction. - In a current-carrying conductor, the force experienced can also be described by: \[ F = I \cdot L \times B \] - Here, \(I\) is the current, \(L\) is the length of the conductor, and \(B\) is the magnetic field. - If the current direction is the same as the magnetic field direction, the angle between \(L\) and \(B\) is also 0 degrees, leading to: \[ F = I \cdot L \cdot B \cdot \sin(0) = 0 \] - This shows that the reason is also correct: the force is zero when the current and the magnetic field are in the same direction. 4. **Conclusion**: - Both the assertion and the reason are correct. - Furthermore, the reason provided is a correct explanation of the assertion. ### Final Answer: - Assertion (A) is correct. - Reason (R) is correct and provides a valid explanation for Assertion (A).

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that an alpha particle placed in a magnetic field will not experience any force if it moves parallel to the field lines. - An alpha particle consists of 2 protons and 2 neutrons, giving it a positive charge. - The force experienced by a charged particle moving in a magnetic field is given by the equation: ...
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