SATHEE: Properties Of Solids And Liquids Question 103

Properties Of Solids And Liquids Question 103

Question: The coefficient of volumetric expansion of mercury is 18 × 10?5/ºC. A thermometer bulb has a volume 10?6 m3 and cross section of stem is 0.004 cm2. Assuming that bulb is filled with mercury at 0ºC then the length of the mercury column at 100ºC is [Pb. PMT 1998, DPMT 1997, 2001]

Options:

A) 18.8 mm

B) 9.2 mm

C) 7.4 cm

D) 4.5 cm

Show Answer

Answer:

Correct Answer: D

Solution:

V = V0(1 + g Dq)

therefore Change in volume $V - V_{0} = Δ V = A . Δ l = V_{0} γ Δ θ$

therefore Dl = $\frac{V_{0} . Δ θ}{A}$ = $\frac{10^{- 6} \times 18 \times 10^{- 5} \times (100 - 0)}{0.004 \times 10^{- 4}}$ = 45 × 10?3 m = 4.5 cm

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Properties Of Solids And Liquids Question 103

Question: The coefficient of volumetric expansion of mercury is 18 × 10?5/ºC. A thermometer bulb has a volume 10?6 m3 and cross section of stem is 0.004 cm2. Assuming that bulb is filled with mercury at 0ºC then the length of the mercury column at 100ºC is [Pb. PMT 1998, DPMT 1997, 2001]

Options:

Answer:

Solution:

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