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Q.

When a charged particle moving with velocity v enters a region containing a perpendicular magnetic field, it moves along a semi-circular path of radius r as shown in the figure.

Question Image

 

 

 

 

 

 

 

Consider the following two statements.
I. The radius r of the semicircle is proportional to the initial speed v.
II. The time required for the particle to traverse the semicircle is independent of v.
Then

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a

Both I and II are true

b

Both I and II are incorrect

c

I is incorrect while II is true

d

I is true , but II is incorrect

answer is C.

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Detailed Solution

mv2r=qvB⇒r=mvqB

and  t=2πrv=2πmqB

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