​ Particle A of mass m1 moving with velocity (√3 i + j) ms^-1 collides with another particle B of mass m2 which is at rest initially. ​

Question

Particle A of mass m₁ moving with velocity (\(\sqrt3 \hat i + \hat j\)) ms^-1 collides with another particle B of mass m₂ which is at rest initially. Let \(\vec V\)₁ and \(\vec V_2\) be the velocities of particles A and B after collision respectively. If m₁ = 2m₂ and after collision \(\vec V_1\) = (\(\hat i + \sqrt3 \hat j\)) ms^-1 the angle between \(\vec V_1\) and \(\vec V_2\) is

(1) –45°

(2) 60°

(3) 15°

(4) 105°

Answer 1

Correct answer is (4) 105°