Two identical particles ( p1 and p2 ) of mass m are involved in a perfectly elastic collision. Particle p1 is initially moving with speed v while p2 is stationary. After the collision, p1 is deflected by \( \theta = 60^\circ \) . Which of the following statements are correct?
1
Speed of p2 after the collision is \( \frac{v}{2} \)
2
Kinetic energy of p2 is \(\frac{1}{3} \)of the total energy of the system.
3
The directions of motion of particles p1 and p2 are perpendicular to each other after the collision.
4
The total kinetic energy of the two particles remains unchanged.