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Q.

A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic of the particle is :
 

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a

ρqR24ε0

b

ρqR22ε0

c

qρ4ε0R2

d

4ε0R2qρ

answer is A.

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Detailed Solution

E=2πrℓ=ρπr2ℓε0
qE=qρR22ε0r=mv2r
mv2=qρR22ε0

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