JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The radius of a sphere is measured to be \((7.50 \pm 0.85) \,cm .\) Suppose the percentage error in its volume is \(x\). The value of \(x\), to the nearest integer is .....\(\%\)
- A \(38\)
- B \(34\)
- C \(42\)
- D \(28\)
Answer & Solution
Correct Answer
(B) \(34\)
Step-by-step Solution
Detailed explanation
\(\because V =\frac{4}{3} \pi r ^{3}\) taking log and then differentiate \(\frac{ dV }{ V }=3 \frac{ dr }{ r }\) \(=\frac{3 \times 0.85}{7.5} \times 100\, \%=34\, \%\)
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