Correct Answer  Option 3 : 16 times
CONCEPT:

Kinetic energy: The energy in a body due to its motion, is known as kinetic energy.
The kinetic energy is given by:
\(K=\frac{1}{2}mv^2\)
where K is the kinetic energy of the body, m is the mass of the body, and v is the speed of the body.
CALCULATION:
Given that velocity is increased by 4 times.
Let initial velocity is v, so the final velocity will 4v.
Initial kinetic energy \(K_i=\frac{1}{2}mv^2\)
Final Kinetic energy \(K_f=\frac{1}{2}m(4v)^2\)
\(K_f = 16\times\frac{1}{2}m(v)^2\)
\(K_f = 16\times K_i\)
So the correct answer is option 3.