The lower and upper fixed points of a mecury-in-glass thermometer are marked Y and 180mm respectively. On a particular the mecury meniscus in the thermometer rises to 45mm. If the corresponding reading on a scale is 10o, calculate the value of Y.
by interpolation,
\(\frac{100 - 0}{10- 0} = \frac{180 - y}{45 - y}\)
\(\frac{100}{10} = \frac{180 -y}{45 - y }\)
450 - 10y = 180 - y
- 9y = - 270
y = 30mm
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