A body of mass is moving with velocity towards east. Another body of the same mass and same velocity moving towards north collides with the former and coalesces and moves towards north-east. Its velocity is
Step 1. Expressing the given data.
Mass of the first body,
Mass of the second body,
The initial velocity of both the body,
Step 2. Finding the velocity of the particle after collision,
Initial Momentum, [Where, is the initial velocity]
Final momentum
Final momentum
Applying the momentum conservation,
Hence, the correct option is .