If the velocity is doubled then the K.E of the body will be:

Explanation

The kinetic energy (KE) of an object is given by the formula: KE = (1/2) m x v2 where m is the mass of the object and v is its velocity. Let's consider the options one by one: a) Remain the same: If the velocity is doubled, the kinetic energy will not remain the same. According to the formula, the kinetic energy is directly proportional to the square of the velocity. So, any change in velocity will result in a change in kinetic energy. b) Double: If the velocity is doubled, the kinetic energy will not double. Instead, it will increase by a factor of four. This is because the kinetic energy is proportional to the square of the velocity. When the velocity is doubled, the new kinetic energy will be (22) = 4 times the original kinetic energy. c) Three times: If the velocity is doubled, the kinetic energy will not triple. As mentioned earlier, the kinetic energy is proportional to the square of the velocity. Thus, doubling the velocity will result in a fourfold increase in kinetic energy, not threefold. d) Four times: This is the correct option. When the velocity is doubled, the kinetic energy will increase by a factor of four. The new kinetic energy will be (22) = 4 times the original kinetic energy. Therefore, the correct answer is d) four times.