If the radii of circular path of two particles are in the ratio of `3 :4`, then in order to have same centripatal acceleration, their speeds should be in the ratio of :

Answer

C

Explanation

Time taken to reach the drop to ground
`9=0+1/2xx10xx(3t)^(2)`
`sqrt(9/5)=3t`
`sqrt(1.8)/3=t`
`x_(2)=1/2xx10xx(2t)^(2)=20t^(2)=20xx1.8/9=4 m`
`x_(3)=1/2 xx10xx(t)^(2)=5t^(2)=5xx1.8/9=1m`