Two spheres A and B of masses m1 and m2 respectively collide.

Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and
B is moving with velocity v along x-axis. After collision B has a velocity v in a direction perpendicular
2
to the original direction. The mass A moves after collision in the direction.

1. Same as that of B
2. Opposite to that of B
3. θ = tan^–1 (1/2) to the x-axis
4. θ = tan–1 (–1/2) to the x-axis

u = 0
conservation of linear momentum along x-direction

m₂v = m₁v_x ⇒	m₂v	= v_x
	m₁

along y-direction

m₂ ×	v	= m₁v_y ⇒ v_y =	m₂v
	2		2m₁

Note : Let A moves in the direction, which makes an angle θ with initial direction i.e.

tan θ =	1
	2

θ = tan^-1		1		to the x-axis.
		2

B is moving with velocity v along x-axis. After collision B has a velocity	v	in a direction perpendicular
	2