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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): A charged particle moves perpendicular to magnetic field. Its kinetic energy remains constant, but momentum changes.
Reason(R): Force acts perpendicular to velocity of the particle.
Assertion(A): A charged particle moves perpendicular to magnetic field. Its kinetic energy remains constant, but momentum changes.
Reason(R): Force acts perpendicular to velocity of the particle.
- a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.
- b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion
- c)Assertion is true but Reason is false.
- d)Assertion is false but Reason is true.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
Force acts perpendicular to the direction of velocity of the charged particle hence no work is done. Thus as there is no change in work done, there is no change in the kinetic energy. Moreover as the magnetic Lorentz force acts perpendicular to the path of velocity of the charged particle, the direction of velocity changes at every instant and the particle moves in the path of circle. As direction changes at every instant momentum which is m x v also changes and is not a constant.
Hence the answer is A
Hence the answer is A
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Community Answer
In the following question, a Statement of Assertion (A) is given follo...
Assertion: A charged particle moves perpendicular to magnetic field. Its kinetic energy remains constant, but momentum changes.
Reason: Force acts perpendicular to velocity of the particle.
Explanation:
When a charged particle moves perpendicular to a magnetic field, it experiences a force called the magnetic force. This force is given by the equation F = qvBsinθ, where q is the charge of the particle, v is the velocity of the particle, B is the magnetic field, and θ is the angle between the velocity and magnetic field.
Constant Kinetic Energy:
The kinetic energy of a particle is given by the equation KE = 1/2 mv^2, where m is the mass of the particle and v is its velocity. When a charged particle moves perpendicular to a magnetic field, the magnetic force does no work on the particle because the force is perpendicular to the displacement. As a result, the kinetic energy of the particle remains constant.
Changing Momentum:
The momentum of a particle is given by the equation p = mv, where m is the mass of the particle and v is its velocity. When a charged particle moves perpendicular to a magnetic field, the magnetic force acts as a centripetal force, causing the particle to move in a circular path. As a result, the direction of the velocity changes, and hence the direction of the momentum changes. However, the magnitude of the momentum remains constant.
Explanation of Reason:
The magnetic force acting on a charged particle is given by the equation F = qvBsinθ. This force is always perpendicular to the velocity of the particle. The reason for this is that the force is caused by the interaction between the magnetic field and the moving charged particle. The direction of the force is determined by the right-hand rule, which states that if you point your thumb in the direction of the velocity of the charged particle, and your fingers in the direction of the magnetic field, then the force is directed perpendicular to both the velocity and the magnetic field.
Conclusion:
Both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion. When a charged particle moves perpendicular to a magnetic field, its kinetic energy remains constant, but its momentum changes because the force acting on it is perpendicular to its velocity.
Reason: Force acts perpendicular to velocity of the particle.
Explanation:
When a charged particle moves perpendicular to a magnetic field, it experiences a force called the magnetic force. This force is given by the equation F = qvBsinθ, where q is the charge of the particle, v is the velocity of the particle, B is the magnetic field, and θ is the angle between the velocity and magnetic field.
Constant Kinetic Energy:
The kinetic energy of a particle is given by the equation KE = 1/2 mv^2, where m is the mass of the particle and v is its velocity. When a charged particle moves perpendicular to a magnetic field, the magnetic force does no work on the particle because the force is perpendicular to the displacement. As a result, the kinetic energy of the particle remains constant.
Changing Momentum:
The momentum of a particle is given by the equation p = mv, where m is the mass of the particle and v is its velocity. When a charged particle moves perpendicular to a magnetic field, the magnetic force acts as a centripetal force, causing the particle to move in a circular path. As a result, the direction of the velocity changes, and hence the direction of the momentum changes. However, the magnitude of the momentum remains constant.
Explanation of Reason:
The magnetic force acting on a charged particle is given by the equation F = qvBsinθ. This force is always perpendicular to the velocity of the particle. The reason for this is that the force is caused by the interaction between the magnetic field and the moving charged particle. The direction of the force is determined by the right-hand rule, which states that if you point your thumb in the direction of the velocity of the charged particle, and your fingers in the direction of the magnetic field, then the force is directed perpendicular to both the velocity and the magnetic field.
Conclusion:
Both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion. When a charged particle moves perpendicular to a magnetic field, its kinetic energy remains constant, but its momentum changes because the force acting on it is perpendicular to its velocity.
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): A charged particle moves perpendicular to magnetic field. Its kinetic energy remains constant, but momentum changes.Reason(R): Force acts perpendicular to velocity of the particle.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer?
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