TS EAMCET · Physics · Units and Dimensions
The error in the measurement of force acting normally on a square plate is \(3 \%\). If the error in the measurement of the side of the plate is \(1 \%\), then the error in the determination of the pressure acting on the plate is
- A \(4 \%\)
- B \(3 \%\)
- C \(5 \%\)
- D \(6 \%\)
Answer & Solution
Correct Answer
(C) \(5 \%\)
Step-by-step Solution
Detailed explanation
\( P = \frac{F}{A} = \frac{F}{s^2} \) \( \frac{\Delta P}{P} \times 100\% = \left( \frac{\Delta F}{F} + 2 \frac{\Delta s}{s} \right) \times 100\% \) \( \frac{\Delta P}{P} \times 100\% = 3\% + 2(1\%) \) \( \frac{\Delta P}{P} \times 100\% = 3\% + 2\% = 5\% \)
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