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Q.

A particle having mass m and positive charge q whirls along vertical circle of radius R. At the centre of circle, another positive charge 2q is fixed.

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a

The minimum velocity given at the lowest point to complete vertical circular motion is lessthan 5gR for motion in gravity.

b

For any value of velocity given in horizontal direction at the lowest point in gravity free space it will perform vertical circular motion.

c

Tension in gravity free space cannot becomes zero at any point during motion.

d

If the charge at the centre is removed and considering the motion in gravity tension will also be function of charge on particle

answer is A.

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Detailed Solution

mg−2kq2R2+T=mv2R  (I) −mgR+12mu2=mgR+12mv2   (II)  if T=0⇒umin=5gR−2Kq2mR
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