JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The density \(\rho\) of a uniform cylinder is determined by measuring its mass \(m\), length \(l\) and diameter \(d\). The measured values of \(m\), \(l\) and \(d\) are \(97.42 \pm 0.02\) g, \(8.35 \pm 0.05\) mm and \(20.20 \pm 0.02\) mm, respectively. Calculated percentage fractional error in \(\rho\) is _______.
- A \(0.63\%\)
- B \(0.82\%\)
- C \(0.72\%\)
- D \(0.25\%\)
Answer & Solution
Correct Answer
(B) \(0.82\%\)
Step-by-step Solution
Detailed explanation
The density of a uniform cylinder is given by \(\rho = \dfrac{m}{V} = \dfrac{4m}{\pi d^2 l}\) The percentage fractional error in density is given by:…
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