AP EAMCET · PHYSICS · Mathematics in Physics
The pressure on a circular plate is measured by measuring the force on the plate and the radius of the plate. If the errors in measurement of the force and the radius are \(5 \%\) and \(3 \%\) respectively, the percentage of error in the measurement of pressure is
- A \(8\)
- B \(14\)
- C \(11\)
- D \(12\)
Answer & Solution
Correct Answer
(C) \(11\)
Step-by-step Solution
Detailed explanation
We have \(\begin{aligned} & p=\frac{F}{A}=\frac{F}{\pi R^2} \\ & \text { So, } \frac{\Delta p}{p} \times 100=\frac{\Delta F}{F} \times 100+2 \frac{\Delta R}{R} \times 100 \\ & =5+2(3)=5+6=11 \\ & \Rightarrow \frac{\Delta p}{p} \times 100=11 \% \end{aligned}\)
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