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1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively $4\%$ and $2\%$, The maximum error in the measurement of pressure is ....... $\%$
  • A
    $1$
  • B
    $2$
  • C
    $6$
  • ✓
    $8$
✓

Answer

Correct option: D.
$8$
d
(d) $P = \frac{F}{A} = \frac{F}{{{l^2}}},$ so maximum error in pressure $(P)$

${\left( {\frac{{\Delta P}}{P} \times 100} \right)_{\max }} = \frac{{\Delta F}}{F} \times 100 + 2\frac{{\Delta l}}{l} \times 100$

$=4\%+2×2\%=8\%$

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