Five equal-mass particles (A–E) enter a region of uniform magnetic field directe

Question

Five equal-mass particles (A–E) enter a region of uniform magnetic field directed into the page. They follow the trajectories illustrated in the figure. (Figure 1)

Part A

Which particle (if any) is neutral?

Part B

Which particle (if any) is negatively charged?

Rank the particles on the basis of their speed.

Rank from largest to smallest. To rank items as equivalent, overlap them.

A

B

C

D

E

Part D

Rank the particles A, B, C, and E on the basis of their speed.

Rank from largest to smallest. To rank items as equivalent, overlap them.

A

B

C

D

E

particle A particle B particle C particle D particle E none A B C D E A BC D E

Explanation / Answer

Force on a charged particle in a magnetic field is given by Lorentz force= F =q ( v x B)

a)now, since the particle D has moved straight and is not deflected=> D is neutral and possesses no charge.

b) B, C and E are positively charged and A is negatively charged as from lorentz rule, in this case,m Force on positive charge is in -x direction and so, B,C and E move towards -x but A moves towards + x, => a is negatively charged.

c) for such particles moving in magnetic field

=> r= mv/qB

=> v=qBr/m

v is directly proportional to radius of circle

radius of C and E is same

radius of A is largest and second largest is that of B

=> Vc = VE <VB<VA

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