If the velocity of a body is doubled, its kinetic energy becomes how many times its original value?

B. 4 — Since kinetic energy is proportional to the square of velocity, doubling the velocity results in a factor of two squared, which is four.

JEE Advanced · PhysicsEasy

$If the velocity v of a body is doubled, its kinetic energy K becomes how many times its original value?$

A. $2$
B. $4$
C. $8$
D. $1.41$

Show correct answer & step-by-step solution

Correct answer: B — $4$

Solution

Since K \propto v^{2}, if v becomes 2 v, then K^{'} \propto (2 v)^{2} = 4 v^{2} . Thus, the kinetic energy becomes 4 times the original value.

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