Consider a particle is moving with a minimum speed 'v' and is at highest point of
veitical circle of radius 'R'. If the radius of the circle doubled the corresponding
minimum speed will be .
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2V
Minimum speed for a particle at the lowest point of a vertical circle is given by
V=5gr
where, g is the acceleration due to gravity & r is the radius of the circle.
Thus, V∝r
Hence when radius is reduced to one-fourth V will reduce by half.
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