A sphere of mass m = 0.5 kg carrying positive charge q = 110 µC is connected with a light, flexible and inextensible spring of length r = 60 cm and whirled in a vertical circle. If a vertically upwards electric field of strength E = 10 5 N/C exists in the space then the minimum velocity of sphere in m/s required at highest point so that it may just complete the circle is (g = 10 m/s 2 )
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Ans. 6
Sol. F E = qE = 11 N
F g = mg = 5N
So Net force = F = 6N upward
g eff =
12 m/s 2 so V min =
= 
so V min = 6 m/sec
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