1
Question
A thermometer bulb has a volume of 10-6 m3 and cross
section area of stem is of 0.004 cm2. Assuming that bulb is
filled with mercury at 0℃. Find the temperature reading
of thermometer if there is 45 mm rise in mercury level.
(γmercury = 1.8 🇽 10-4 ℃-1)
A thermometer bulb has a volume of 10-6 m3 and cross
section area of stem is of 0.004 cm2. Assuming that bulb is
filled with mercury at 0℃. Find the temperature reading
of thermometer if there is 45 mm rise in mercury level.
(γmercury = 1.8 🇽 10-4 ℃-1)
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Solution
The correct option is B 100℃
The volumetric expansion can be written as,
V2=V1(1+γΔθ)
where, V2 is the final volume, V1 is the initial volume, γ is the coefficient of volumetric expansion and Δθ is the change in temperature.
or, Change in volume,V2−V1=V1γΔθ
As we know, Change in volume=Area×Change in length
or, V2−V1=Area×Change in length
or, Change in length=V2−V1Area
or, Change in length=V1γΔθA
Given, V1=10−6 m3, A=0.004 cm2=0.004×10−4 m2, γ=8×10−5 ∘C,
Δθ=100−0=100∘C
The volumetric expansion can be written as,
V2=V1(1+γΔθ)
where, V2 is the final volume, V1 is the initial volume, γ is the coefficient of volumetric expansion and Δθ is the change in temperature.
or, Change in volume,V2−V1=V1γΔθ
As we know, Change in volume=Area×Change in length
or, V2−V1=Area×Change in length
or, Change in length=V2−V1Area
or, Change in length=V1γΔθA
Given, V1=10−6 m3, A=0.004 cm2=0.004×10−4 m2, γ=8×10−5 ∘C,
Δθ=100−0=100∘C
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