Question

The drawing shows the paths taken by 4 different particles in an magnetic field that is directed into the paper. All four particles have the same mass and speed. List the particles in order of their charge magnitude, largest to smallest. B. into paper 3 O 3, 2, 1,4 O 1, 3, 4,2 O 3, 4, 2, 1 O 4, 1, 2, 3 O 4, 1, 3,2

Answer 1

(1) since, charge particle moves in a circular path in magnetic field, thus the magnetic force supplies the centripetal force, therefore;

$F_B=F_C$

$Bqv=\frac{mv^2}{R}$

$q=\frac{mv}{BR}$

where,

m = mass of charge paricle;

v = speed of charge particle;

B = magnetic field;

q = magnitude of charge particle;

since mass, speed and magnetic field is constant, thus charge inversely depends on the radius of path. therefore particle with minimum radius will have maximum charge, thus order of charge is;

$q_4>q_1>q_3>q2$

last choice is correct.