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ssertion(A): A charged particle is moving in a circular path under the action of auniformmagnetic field. During the motion, kinetic energy of the charged particle isconstant.Reason (R): During the motion, magnetic force acting on the particle is perpendiculartoinstantaneous velocity.

Question

ssertion(A): A charged particle is moving in a circular path under the action of auniformmagnetic field. During the motion, kinetic energy of the charged particle isconstant.Reason (R): During the motion, magnetic force acting on the particle is perpendiculartoinstantaneous velocity.

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Solution

Step 1: Read the given assertion and reason carefully.

Step 2: Understand the assertion and reason statements.

Assertion (A): A charged particle is moving in a circular path under the action of a uniform magnetic field. During the motion, kinetic energy of the charged particle is constant.

Reason (R): During the motion, magnetic force acting on the particle is perpendicular to instantaneous velocity.

Step 3: Analyze the assertion and reason statements individually.

Assertion (A): A charged particle is moving in a circular path under the action of a uniform magnetic field. During the motion, kinetic energy of the charged particle is constant.

This statement suggests that when a charged particle moves in a circular path under the influence of a uniform magnetic field, its kinetic energy remains constant.

Reason (R): During the motion, magnetic force acting on the particle is perpendicular to instantaneous velocity.

This statement suggests that the magnetic force acting on the charged particle is always perpendicular to its instantaneous velocity during the circular motion.

Step 4: Evaluate the validity of the reason statement.

The reason statement is correct because in circular motion under a magnetic field, the magnetic force acting on the charged particle is always perpendicular to its instantaneous velocity. This is known as the Lorentz force.

Step 5: Determine the relationship between the assertion and reason.

The reason statement supports the assertion statement. The constant kinetic energy of the charged particle in circular motion is a result of the magnetic force acting perpendicular to the instantaneous velocity.

Step 6: Formulate the final answer.

The assertion and reason are both correct, and the reason explains why the assertion is true. Therefore, the correct answer is: Assertion (A) is true, and Reason (R) is the correct explanation of Assertion (A).

This problem has been solved

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