The figure below shows the paths followed by three charged particles through a r

Question

The figure below shows the paths followed by three charged particles through a region of uniform magnetic field that is directed perpendicular to the page. Particle 1 has a positive charge. Select the three correct statements about this situation from the list below. Particle 2 has a positive charge. Particle 2 has a negative charge. Particle 3 has a positive charge. Particle 3 has a negative charge. The magnetic field is directed out of the screen. The magnetic field is directed into the screen.

Explanation / Answer

F = q (v x B)

For 1: (as it enter the field,)

v = i^ , F = j

j^ = + (i^ x B^)

so B^ = -k^ (field is into the page.)

FOr 2:

v = - i^

F^ = -j^

-j = (q)(-i^ x -k^)

q2 is +ve.

for 3: v = i^

F^ = -j^

-j^ = (q3) (i^ x -k^)

q3 is negative.

Ans: Particl2 2 has positive charge.

particle 3 has negative charge.

Field is directed into the screen.

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F =q v B sin(theta)

theta = angle between v and B = 90 deg  

F = (8 x 10^-6)(2.60 x 10^3)(2.50 x 10^-2)sin90

F = 0.52 x 10^-3 N

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