Question

State whether the given statement is True or False :

If kinetic energy of an object is doubled, its speed becomes $\sqrt{2}$ times the original value.

• A. True
• B. False

Answer 1

The correct option is A True

Answer is A.

The kinetic energy of an object is directly proportional to the square of its speed. That means that for a twofold increase in speed, the kinetic energy will increase by a factor of four. The kinetic energy is dependent upon the square of the speed.
That is $KE\propto v^2$.
In the other way, when the kinetic energy is doubled, the velocity is square rooted, That is, $\sqrt{2}$ times the velocity.
Hence, the statement is true.