A small block m is placed at the top on the smooth inclined face AB of a wedge of mass M free to slide on a horizontal surface as shown in the figure and released from rest.

(i) The total momentum of the block and the wedge is constant during motion.
(ii) The total momentum of the block and the wedge along the horizontal is constant during motion.
(iii) When the block reaches B the displacement of M to the left is `(mh cot alpha)/(m+M)`.
(iv) When the block reaches B the horizontal displacement of m to the right is `(Mh cot alpha)/(m+M)`.

Options

A. All are correct except (i)
B. (ii) and (iv) only are correct
C. (i) and (ii) are correct
D. (i) only is correct.

Answer

A