MHT CET · Physics · Mathematics in Physics
The formula for the physical quantity is \(\mathrm{P}=\frac{\mathrm{x}^3 \mathrm{y}}{\mathrm{z}^2}\) and the percentage error in the determination of physical quantities \(x, y, z\) are \(0.6 \%, 3 \%\) and \(1.3 \%\) respectively. The percentage error in the measurement of \(P\) is
- A \(2.2 ~\%\)
- B \(4.9 ~\%\)
- C \(5.3 ~\%\)
- D \(7.4 ~\%\)
Answer & Solution
Correct Answer
(D) \(7.4 ~\%\)
Step-by-step Solution
Detailed explanation
\(\frac{\Delta P}{P} \times 100\% = 3 \frac{\Delta x}{x} \times 100\% + 1 \frac{\Delta y}{y} \times 100\% + 2 \frac{\Delta z}{z} \times 100\%\) \( = 3(0.6 \%) + 1(3 \%) + 2(1.3 \%)\)
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