The correct option is A 100 %
The K.E of a moving body has relation with momentum as
K.E, K=P22m
⇒ P∝√K
Given, the Kinetic energy of a moving body becomes four times its initial Kinetic energy.
Let initial K.E of the body be K
⇒ final K.E of the body will be 4K
∴ P2P1=√4KK, where, P2 and P1 are the final momentum and initial momentum of the body respectively.
⇒P2P1=2
Percentage change in momentum is given by,
(P2−P1P1) %=(P2P1−1)×100=(2−1)×100=100 %
⇒ (ΔPP1) %=100 %
Hence, option (a) is correct.