Directions: In the following questions, a statement of assertion (A) ...
From equation F — qvBsin?. Force on moving charge will be maximum if direction of velocity of charge is perpendicular to direction of magnetic field (when 6 = 90°)
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Directions: In the following questions, a statement of assertion (A) ...
Assertion: Force experienced by a moving charge will be maximum if the direction of velocity of the charge is perpendicular to the applied magnetic field.
Reason: Force on a moving charge is independent of the direction of the applied magnetic field.
Explanation:
The force experienced by a moving charge in a magnetic field is given by the equation F = qvBsinθ, where F is the force, q is the charge, v is the velocity of the charge, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.
Reasoning for the Assertion:
When the velocity vector is perpendicular to the magnetic field vector (θ = 90°), the sine of 90° is equal to 1. Therefore, the force experienced by the charge will be maximum when the direction of the velocity is perpendicular to the applied magnetic field. This can be understood by considering the right-hand rule, where the force experienced by a positive charge is perpendicular to both the velocity and the magnetic field vectors.
Reasoning for the Reason:
The force experienced by a moving charge is indeed independent of the direction of the applied magnetic field. The direction of the force is determined by the right-hand rule, which states that if the thumb of the right hand points in the direction of the velocity vector and the fingers point in the direction of the magnetic field vector, then the palm of the hand represents the direction of the force vector. The magnitude of the force depends on the velocity, the charge, the magnetic field strength, and the angle between the velocity and the magnetic field vectors.
Conclusion:
The assertion is true because the force experienced by a moving charge is maximum when the direction of velocity is perpendicular to the applied magnetic field. The reason is also true because the force on a moving charge is indeed independent of the direction of the applied magnetic field. Therefore, option A is the correct answer.
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