In Fig., a hollow tube of mass `M` is free in horizontal direction. The system is released from rest. There is no friction present. The tube and blocks are taken as system.
i. Momentum of the system is conserved in x-direction.
ii. Speed of `A` w.r.t. `M =` speed of `B` w.r.t. `M`.
iii. Trajectory of centre of mass is `X`-constant. iv. Centre of mass has finite acceleration.
Evaluate the above statements and choose the correct option from the following:

Options

A. Statements i, ii are true and iii, iv are false.
B. Statements i, ii are false and iii, iv are true.
C. All statements are true.
D. All statements are false.

Answer

C

Explanation

Momentum of the suystem in `d`-direction is conserved because all the forces on the system in `x`-direction are balanced. But the fore in `y`-direction is not balanced so, trajector of motion of centre of the system is `X-constant.