STANDARD Physics Error Analysis MCQ Question
If the error in measuring the radius of the sphere is 2% and that in measuring its mass is 3%, then the error in measuring the density of material of the sphere is
5%
7%
9%
11%
Correct Answer
Detailed Explanation
The percentage error in density is calculated using the formula: Δρ/ρ × 100% = (ΔM/M + 3ΔR/R) × 100%. Substituting the given errors, we get 3% + 3(2%) = 9%.
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