MHT CET · Physics · Mathematics in Physics
The maximum error in the measurement of mass and length is \(4 \%\) and \(3 \%\) respectively. The error in the measurement of density of a cube will be
- A \(9 \%\)
- B \(15 \%\)
- C \(13 \%\)
- D \(6 \%\)
Answer & Solution
Correct Answer
(C) \(13 \%\)
Step-by-step Solution
Detailed explanation
\( \rho = \frac{M}{V} = \frac{M}{L^3} \) \( \frac{\Delta \rho}{\rho} \times 100\% = \left( \frac{\Delta M}{M} + 3 \frac{\Delta L}{L} \right) \times 100\% \)
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