To solve the problem below, you must write a clear and convincing justification

Question

To solve the problem below, you must write a clear and convincing justification for accepting one of the possible answer choices as the best or most appropriate and for rejecting each of the ether choices as less appropriate. Your reasons for rejecting choices are just as important as your reasons for choosing the best answer. Suppose that the magnetic force on a charged particle were inversely proportional to the particle's velocity. This would mean that: a. a particle with small charge and low velocity would experience the same force as a highly charged, high-velocity particle. b. stationary charges would experience no force. c. as the charged particle moved through the magnetic field, the charge on the particle would decrease. d. highly charged particles would move more slowly in a uniform magnetic field. e. a highly charged, fast-moving particle would experience no force.

Explanation / Answer

Inappropriate: as there's no description of charge-force dependence, so we can assume that charge and force are independent of each other. Other than that the situation states that low velocity particles will experience lesser force and vice versa, which is quite opposite of the condition stated. Lower velocity gets inversely squared proportional to higher velocity. Stationary charge will produce 1/0 = infinity force, so the condition is inappropriate. As the velocity isn’t increased by the magnetic force, because it’s non-work force. As there’s no acceleration the charge doesn’t decrease. – Inappropriate Charge-velocity relation is independent of each other, so the statement is invalid. Although the charge doesn’t influence the velocity, but high velocity gets very low when squared and inversed, this offers a little or rather- no force if the velocity is extremely high. The statement fits the condition to a great extent, that’s why it is the most appropriate option.

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