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MHT CET Medical202623 April 2026Evening ShiftPhysicsMathematics in PhysicsActual

A rod has mass (4 0.01) kg, radius (2 0.02) cm and length (50 0.05) cm. The maximum percentage error in the measurement of density is

Options

  1. A1.35 %
  2. B2.35 %
  3. C3.35 %
  4. D4.35 %

Correct answer

B. 2.35 %

Step-by-step solution

Density of the rod is given by = M V = M r^2 L The maximum percentage error in density is 100 = ( M M + 2 r r + L L ) 100 Substituting the given values: 100 = ( 0.01 4 + 2 0.02 2 + 0.05 50 ) 100 100 = (0.0025 + 0.02 + 0.001) 100 100 = 0.0235 100 = 2.35 % Answer: 2.35 %

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