MHT CET · Physics · Mathematics in Physics
A force \(F\) is applied on a square plate of side \(L\). If the percentage error in determining F is \(3 \%\) and that in L is \(2 \%\), then the percentage error in determining the pressure is
- A \(7 \%\)
- B \(5 \%\)
- C \(3 \%\)
- D \(2 \%\)
Answer & Solution
Correct Answer
(A) \(7 \%\)
Step-by-step Solution
Detailed explanation
\(P = \frac{F}{A} = \frac{F}{L^2}\) \(\frac{\Delta P}{P} \times 100\% = \frac{\Delta F}{F} \times 100\% + 2 \times \frac{\Delta L}{L} \times 100\%\)
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