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The lower and upper fixed points of a mecury-in-glass the...

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.

A.

4mm

B.

18mm

C.

30mm

D.

135mm

E.

450mm

Correct answer is C

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