JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
In an experiment the values of two spring constants were measured as \(k _1=(10 \pm 0.2) N / m\)
and \(k _2=(20 \pm 0.3) N / m\). If these springs are connected in parallel, then the percentage error in equivalent spring constant is :
- A 2.67%
- B 2.33%
- C 1.33%
- D 1.67%
Answer & Solution
Correct Answer
(D) 1.67%
Step-by-step Solution
Detailed explanation
For parallel combination of spring, \( K_{eq} = K_{1} + K_{2} = 30 N/m \) \( \Delta K_{eq} = \Delta K_{1} + \Delta K_{2} = 0.2 + 0.3 = 0.5 N/m \) \(\therefore \quad\) %Error in \(K =\frac{0.5}{30} \times 100=1.67 \%\)
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