Question #143246
When calibrated on the Celsius scale , the lower and upper fixed length of a thread are respectively 2.0cm and 10.0 cm from the bulb. What is the temperature of the room where the length of the thread is 8.0cm
1
Expert's answer
2020-11-10T06:53:57-0500

Lb.pLi.pLtLi.p=T(b.p)T(i.p)TT(i.p)10282=1000T086=100TT=6×1008=75°C\begin{aligned} \dfrac{L_{b.p} - L_{i.p}}{L_{t} - L_{i.p}}&=\dfrac{T(b.p) - T(i.p)}{T - T(i.p)}\\ \\ \dfrac{10-2}{8 -2}&=\dfrac{100-0}{T-0}\\ \\ \dfrac{8}{6}&=\dfrac{100}{T}\\ \\ T &= \dfrac{6×100}{8}\\ &= 75°C \end{aligned}

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