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MHT CET202522 Apr 2025Evening ShiftPhysicsMathematics in PhysicsActual

The percentage error in the measurement of mass and speed of a particular body is 3 % and 4 % respectively. The percentage error in the measurement of kinetic energy is

Options

  1. A9 %
  2. B10 %
  3. C11 %
  4. D12 %

Correct answer

C. 11 %

Step-by-step solution

Kinetic energy is given by KE = 1 2 mv^2 . To determine the percentage error in its measurement, we apply error propagation principles. For a quantity X = A^p B^q , the maximum percentage error is X X 100 % = |p| A A 100 % + |q| B B 100 % . For KE = 1 2 m^1v^2 , the constant factor does not contribute to error. Given percentage errors: mass is 3 % and speed is 4 % . Applying the formula: |1| 3 % + |2| 4 % = 3 % + 8 % = 11 % . Final answer: C

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