A particle starting form rest at the highest point slides down the outside of a smooth vertical circular track of radius 0.3 m. When it leaves the track its vertical fall is h and the linear velocity is v. The angle made by the radius at that position of the particle with the vertical is θ. Now consider the following observation : (g = 10 m/s2 )
(I) h = 0.1 m and cos θ = 2/3.
(II) h = 0.2 m and cos θ = 1/3.
(III) v = √2 m/s–1.
(IV) After leaving the circular track the particle will describe a parabolic path. Therefore,
(A) (I) and (III) both are correct
(B) only (II) is incorrect
(C) only (III) is correct
(D) (IV) is correct
