A mass $m$ attached to a string is moving in a horizontal circular motion as shown. The tension on the string is $T$, and the angle with the vertical is $\theta$.
Which of the following statements are correct for this motion?
I. Centripetal force = $mg\;\tan (\theta)$
II. Total gravitational and kinetic energy of the mass is constant.
III. If the rope is cut, the mass will fall downwards with a straight line trajectory.
A. Only Ⅰ
B. Ⅰ and II
C. II and III
D. Ⅰ, II and III