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In an experiment the values of two spring constants were measured as k₁=(10 0.2) N / m and k₂=(20 0.3) N / m . If these springs are connected in parallel, then the percentage error in equivalent spring constant is :

Options

  1. A1.33%
  2. B1.67%
  3. C2.67%
  4. D2.33%

Correct answer

B. 1.67%

Step-by-step solution

For parallel combination: k_ eq = k₁ + k₂ = 10 + 20 = 30 N/m For sum, absolute errors add: k_ eq = k₁ + k₂ = 0.2 + 0.3 = 0.5 N/m Percentage error = k_ eq k_ eq 100 = 0.5 30 100 = 1.67 %

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