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MHT CET202620 April 2026Morning ShiftPhysicsMathematics in PhysicsActual

The percentage error in the measurement of mass of a body and its speed are 0.73 % and 1.84 % respectively. The percentage error in the measurement of its momentum and kinetic energy are respectively

Options

  1. A2.57 % , 2.75 %
  2. B2.57 % , 4.41 %
  3. C1.46 % , 1.84 %
  4. D1.84 % , 3.70 %

Correct answer

B. 2.57 % , 4.41 %

Step-by-step solution

Given percentage error in mass, m m 100 = 0.73 % Given percentage error in speed, v v 100 = 1.84 % Momentum is given by p = mv Percentage error in momentum is p p 100 = m m 100 + v v 100 p p 100 = 0.73 % + 1.84 % = 2.57 % Kinetic energy is given by K = 1 2 mv^2 Percentage error in kinetic energy is K K 100 = m m 100 + 2 v v 100 K K 100 = 0.73 % + 2(1.84 %) = 0.73 % + 3.68 % = 4.41 % Answer: 2.57 % , 4.41 %

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