Magnetic Effects Of Current Question 407

Question: A uniform magnetic field is directed out of the page. A charged particle, moving in the plane of the page, follows a clockwise spiral of decreasing radius as shown, A reasonable explanation is

Options:

A) the charge is positive and slowing down

B) the charge is negative and slowing down

C) the charge is positive and speeding up

D) the charge is negative and speeding up

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ R=\frac{mv}{qB} $ ; $ \overset{\to }{\mathop{F}},=q(\overset{\to }{\mathop{v}},\times \overset{\to }{\mathop{B}},) $ As R decreases, v will decrease. Clockwise motion for upward magnetic field $ \to +ve $