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A small particle of mass m = 1 kg and ch...

A small particle of mass m = 1 kg and charge of 1C enters perpendicularly in a triangular region of uniform magnetic field of strength 2T as shown in figure :

Calculate maximum velocity of the particle with which it should enter so that it complete a half-circle in magnetic region :

A

2 m/s

B

2.5 m/s

C

3 m/s

D

4 m/s

Text Solution

Verified by Experts

The correct Answer is:
C

In triangle PMC
`cos 53^(@)=(MP)/(MC)`
`(3)/(5)=(R)/(4-R)12 =8R`
`R=(3)/(2)m` (R is the maximum radius of half-circle)
`R_(max)=("mu"_(max))/(qB)rArr U_(max)=3m//s`.
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