14. If the radii of circular paths ...
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14. If the radii of circular paths of two particles of same masses are in the ratio of 1:2, then in order to have a constant centripetal force, their velocities should be in the ratio of:

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[ text { Hore } frac{x_{1}}{frac{x_{1}}{r_{2}}}=frac{1}{frac{1}{2}} 2 ] For same centripetal force [ F_{1}=F cdot 2 ] [ frac{m_{1} v_{1}^{2}-frac{p_{2} v_{2}^{2}}{x_{2}}}{frac{v_{1}^{2}}{v_{2}^{2}}=frac{x_{1}}{gamma_{2}}}=frac{1}{2} ] [ operatorname{Soj} mid frac{v_{1}}{v_{2}}=frac{1}{sqrt{2}} ]
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