A mercury thermometer is made of glass having cross–sectional inner hole equal 0.1 mm 2 . Volume of mercury in the bulb is 2.22 cc. Following graph shows variation of length of mercury column inside thermometer with change in temperature in two different scale, scale A (°A) and scale B (°B).
(i) Both scale A and scale B agrees at temperature-
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Ans.
(i)
Sol. Variation of length of Hg column with temperature
Scale A: °A = 2.5 λ – 25 … (i)
Scale B: °B = 0.5 λ – 10 … (ii)
[Where λ = length of Hg column in mm]
Both scale will agree when °A = °B
⇒ °A = °B = – 6.25°
(ii)
Sol. From equation (i) and (ii)
⇒ 
= 
At steam point °A = 100°
⇒ B° = 15°
(iii)
Sol. Coefficient of cubical expansion of Hg
γ = 
= 
= 
× 
1.8 × 10 –4 /°A
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