Directions: In the following questions, A statement of Assertion (A) ...
So, the force is mass independent. So, the assertion is false. Protons are obviously heavier than electrons. So, the reason is true. But reason does not explain the assertion.
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Directions: In the following questions, A statement of Assertion (A) ...
Explanation:
Assertion (A): An electron and a proton moving with the same velocity enters a magnetic field. The force experienced by the proton is more than the force experienced by the electron.
Reason (R): The mass of the proton is more than the mass of the electron.
The correct option is (D) because the statement in Assertion (A) is false while the statement in Reason (R) is true.
Explanation in detail:
When an electron and a proton enter a magnetic field with the same velocity, they experience a magnetic force perpendicular to their direction of motion. This force is given by the formula F = qvBsinθ, where F is the magnetic force, q is the charge on the particle, v is the velocity of the particle, B is the magnetic field, and θ is the angle between the velocity and the magnetic field.
As both the electron and the proton have the same charge, the only difference in the magnetic force experienced by them is due to their mass. The magnetic force is directly proportional to the velocity, charge, and the magnetic field but it is inversely proportional to the mass of the particle.
As the mass of the proton is more than the mass of the electron, the magnetic force experienced by the proton is more than the magnetic force experienced by the electron. Thus, Reason (R) is true.
However, Assertion (A) is false because the force experienced by the proton is not necessarily more than the force experienced by the electron. The magnitude of the magnetic force depends on the velocity, charge, magnetic field, and mass of the particle. If the velocity, magnetic field, and angle of entry are chosen such that the magnetic force experienced by the electron is more than the magnetic force experienced by the proton, then Assertion (A) will be false.