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The kinetic energy of a particle is determined by measuring its momentum and mass. If the maximum percentage errors in the measurement of momentum and mass are 4 % and 3 % respectively, then the maximum percentage error in the calculated value of kinetic energy will be:

Options

  1. A5
  2. B7
  3. C10
  4. D11

Correct answer

D. 11

Step-by-step solution

The kinetic energy K of a particle is related to its momentum p and mass m by the relation: K = p^2 2m The maximum percentage error in kinetic energy is given by: K K 100 = 2 ( p p 100 ) + m m 100 Given that the percentage errors in momentum and mass are 4 % and 3 % respectively: K K 100 = 2(4 %) + 3 % = 8 % + 3 % = 11 % Answer: 11

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