In all the four situations depicted in Column-I, a ball of mass m is connected to a string. In each case, find the tension in the string and match the appropriate entries in Column-II.
`{:((A) (##VMC_PHY_XI_WOR_BOK_01_C04_E03_050_Q01##) "Conical pendulum", (P)T= mg cos theta) ,((B) (##VMC_PHY_XI_WOR_BOK_01_C04_E03_050_Q02##)"Pendulum is swinging. Angular position is the extreme position". "T is tension in extreme position", (Q) T cos theta = mg) ,((C) (##VMC_PHY_XI_WOR_BOK_01_C04_E03_050_Q03##) "The car is moving with constant acceleration." "The ball is at rest with respect to car",(R) "Speed of ball with respect to ground is constant"),((D) (##VMC_PHY_XI_WOR_BOK_01_C04_E03_050_Q04##) "The car is moving with constant velocity"." The ball is at rest with respect to car", (S) "Velocity of ball with respect to ground is changing continuously"):}`

Explanation

The angular speed of the ball = `omega = sqrt(g/h)`
where h = OC
From the right angled triangle,
`OC^(2) = OA^(2) - CA^(2)`
`OC = sqrt(0.3^(2) - 0.15^(2)) = 0.26 m`
`omega = sqrt(9.8/0.26) = 6.14` rad/s