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MHT CET202526 Apr 2025Morning ShiftPhysicsMathematics in PhysicsActual

The error in the measurement of length and mass is 3 % and 4 % respectively. The error in the measurement of density will be

Options

  1. A6 %
  2. B13 %
  3. C9 %
  4. D15 %

Correct answer

B. 13 %

Step-by-step solution

Maximum percentage error in density is determined by error propagation for a multiplicative relation. Density = m / L³ , so = m¹ L⁻³ . For Z = A^ x B^ y , the percentage error is |x A A | 100 % + |y B B | 100 % . Substituting A = m , x = 1 , B = L , y = -3 : 100 % = |1 m m | 100 % + | -3 L L | 100 % = 4 % + 9 % = 13 % .

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