If the error in the measurement of momentum of particle is (+100 % ), then the error in the measurement of kinetic energy is

Options

(a) 100 %
(b) 200 %
(c) 300 %
(d) 400 %

Correct Answer:

300 %

Explanation:

Error in measurement of momentum is + 100%
.·. p₁ = p, p₂ = 2p
KE₁ = p²/2m, KE₂ = (2p)²/2m
% in KE = [(KE₂ – KE₁) / KE₁] × 100 = [(4-1) / 1] × 100 = 300 %.