Multiple choice general knowledge science & technology

If the linear momentum of a particle is doubled, then its kinetic energy will be

  1. Doubled

  2. Halved

  3. Quadrupled

  4. Remains same

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Kinetic energy is related to linear momentum by the formula KE = p^2 / (2m), where p is momentum and m is mass. If the momentum p is doubled (2p), the kinetic energy becomes (2p)^2 / (2m) = 4 * (p^2 / (2m)), meaning it increases by a factor of four.