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10.1, thermonetry,thermal expansion and calorimetry — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics10.1, thermonetry,thermal expansion and calorimetry1 Mark
MCQ
The scale on a steel metre stick is calibrated at $20^o\,C$.The error in the reading of $50\,cm$ at $30^o\,C$ is: (take linear expansion coefficient of steel $= 1.0 \times 10^{-5} /  ^oC)$
  • A
    $10^{-3} \,cm$
  • B
    $2 \times 10^{-3} \,cm$
  • ✓
    $5 \times 10^{-3} \,cm$
  • D
    $10^{-2} \,cm$
✓

Answer

Correct option: C.
$5 \times 10^{-3} \,cm$
c
$\Delta \mathrm{L}=\mathrm{L}_{\mathrm{o}} \alpha \Delta \mathrm{t}$

$=(50 \mathrm{cm})\left(1.0 \times 10^{-5}/^{\circ}{C}\right)(30-20)^{\circ} \mathrm{C}$

$=5 \times 10^{-3} \mathrm{cm}$

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