Correct Answer - Option 4 : √2 times
Momentum: A property of a body in motion that is equal to the product of the body's mass and velocity is called momentum.
P = mv
where P is the momentum of the body, m is the mass of the body, and v is the velocity of the body.
Kinetic energy: The energy in a body due to its motion, is known as kinetic energy.
The kinetic energy in terms of momentum is given by:
where K is the kinetic energy of the body, P is the momentum of the body and m is the mass of the body.
Given that the Kinetic energy of the body increased 2 times. 2K1 = K2
2K1 = K2
P2 = √2 P1
So the correct answer is option 4.