Question

Kinetic energy of a particle depends on the square
of speed of the particle. If error in measurement of
speed is 40% then error in the measurement of
kinetic energy will be
(1) 80%
(2) 40%
(3) 96%
(4) 120%​

Answer 1

Answer: (1) 80%

Explanation:.

K.E. = (speed)^2

∆K.E./K.E. = 2∆S/S

Multiply both sides by 100

∆K.E./K.E. × 100 = 2×∆S/S × 100

∆ K.E./ K.E. × 100 = 2 × 40%

[ Given that percentage error in speed is 40%]

∆K.E./K.E. × 100 = 80%

Thus the percentage error in kinetic energy is 80%

So option (1) is correct.

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