JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
In the density measurement of a cube, the mass and edge length are measured as \((10.00 \pm 0.10)\,\,kg\,\) and \((0.10 \pm 0.01)\,\,m\,\) respectively. The error in the measurement of density is
- A \(0.10\,\,kg/m^3\)
- B \(0.31\,\,kg/m^3\)
- C \(0.07\,\,kg/m^3\)
- D None of these
Answer & Solution
Correct Answer
(D) None of these
Step-by-step Solution
Detailed explanation
\begin{array}{l} \rho = \frac{m}{v}\\ Maximum\,\% \,error\,in\,\rho \,will\,be\,given\,by\\ \frac{{\Delta p}}{p} \times 100\% = \left( {\frac{{\Delta m}}{m}} \right) \times 100\% + 3\left( {\frac{{\Delta L}}{L}} \right) \times 100\% \,\,...\left( i \right)\\…
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