MHT CET · Physics · Mathematics in Physics
The errors in the measurement of mass and length of the cube is \(1.5 \%\) and \(2 \cdot 5 \%\)
respectively. The percentage error in the measurement of density of a cube is
- A \(3 \%\)
- B \(1.5 \%\)
- C \(6 \%\)
- D \(9 \%\)
Answer & Solution
Correct Answer
(D) \(9 \%\)
Step-by-step Solution
Detailed explanation
Density \(p=\frac{m}{v}=\frac{m}{l^{3}}\)
\(\begin{aligned} \max \% \operatorname{ser} 0 r=\frac{\Delta P}{P} \times 100 &=\frac{\Delta m}{m} \times 100+3 \times \frac{\Delta l}{l} \times 100 \\ &=(1.5+3 \times 2.5) \% \\ &=(1.5+7.5) \%=9 \% \end{aligned}\)
\(\begin{aligned} \max \% \operatorname{ser} 0 r=\frac{\Delta P}{P} \times 100 &=\frac{\Delta m}{m} \times 100+3 \times \frac{\Delta l}{l} \times 100 \\ &=(1.5+3 \times 2.5) \% \\ &=(1.5+7.5) \%=9 \% \end{aligned}\)
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