A small sphere of mass m is connected by a string to a nail at O and moves in a circle of radius r on the smooth plane inclined at an angle $\theta$ with the horizontal. If the sphere has a velocity u at the top position A. Mark the correct options. (AC is line of greatest slope with A as top point

Minimum velocity at A so that the string does not get slack instantaneously is  $\sqrt{\frac{3gr}{5}}$

Tension at B is $\frac{9mg}{5}$ if the sphere has the required minimum velocity so that the string does not get slack

Tension at C is $6mg$ if the sphere has the required minimum velocity so that string  does not slack

Tension at C is $\frac{18mg}{5}$  if the sphere has the required minimum velocity so that string  does not slack