Question
A charged particle moves insides a pipe which is bent as shown in fig. If $$R > \frac{{mv}}{{qB}},$$ then force exerted by the pipe on charged particle at $$P$$ is (Neglect gravity)
A charged particle moves insides a pipe which is bent as shown in fig. If $$R > \frac{{mv}}{{qB}},$$ then force exerted by the pipe on charged particle at $$P$$ is (Neglect gravity)
A.
toward center
B.
away from center
C.
zero
D.
none of these
Answer :
toward center
Solution :
Radius of circular path of the charged particles $$r = \frac{{mV}}{{qB}}$$
Here $$R < r,$$ hence the particle will press the outer wall of the pipe hence the force applied by the pipe on the particle should be towards the centre of the pipe.
Radius of circular path of the charged particles $$r = \frac{{mV}}{{qB}}$$
Here $$R < r,$$ hence the particle will press the outer wall of the pipe hence the force applied by the pipe on the particle should be towards the centre of the pipe.