A steel tape is calibrated at 20^{circ} C . On a cold day when temperature is -15^{circ} C , percent

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10-1.Thermometry, Thermal Expansion and Calorimetry

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A steel tape is calibrated at $20^{\circ} C$. On a cold day when the temperature is $-15^{\circ} C$, percentage error in the tape will be ........... $\%$ $\left[\alpha_{\text {steel }}=1.2 \times 10^{-5}{ }^{\circ} C ^{-1}\right]$

A

$-0.035$

B

$-0.042$

C

$0.012$

D

$-0.018$

Solution

(b)

$\%$ error $=\frac{\Delta L}{L} \times 100$

$=\frac{L \alpha \Delta T}{L} \times 100$

$=1.2 \times 10^{-5} \times(-35) \times 100=-0.042 \%$

Standard 11

Physics

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