Initial and final temperatures of water as recorded by an observer are (40.6 pm 0.2)^{circ} C and (7

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1.Units, Dimensions and Measurement

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The initial and final temperatures of water as recorded by an observer are $(40.6 \pm 0.2)^{\circ} C$ and $(78.9 \pm 0.3)^{\circ} C .$ Calculate the rise in temperature with proper error limits.

A

$(37.7 \pm 0.5)^{\circ} C$

B

$(17.6 \pm 0.4)^{\circ} C$

C

$(25.3 \pm 0.5) ^{\circ} C$

D

$(31.5 \pm 0.3)^{\circ} C$

Solution

$\theta_1=(40.6 \pm 0.2)^{\circ} C , \theta_2=(78.3 \pm 0.3)^{\circ} C$

Rise in temperature, $\theta=\theta_2-\theta_1=78.3-40.6=37.7^{\circ} C \Delta \theta$

$= \pm\left(\Delta \theta+\Delta \theta_2\right)$

$=\pm(0.2+0.3)=0.5^{\circ} C$

Hence, rise in temperature $=(37.7 \pm 0.5)^{\circ} C$

Standard 11

Physics

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