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Q9.6: NCERT Physics - Part 2 MECHANICAL PROPERTIES OF FLUIDS 9.6 Solution: Toricelli's barometer used mercury. Pascal duplicated it using…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often incorrectly assume the height is simply proportional to the inverse of density without verifying the reference pressure, or they mistakenly use the mercury height directly in a ratio without accounting for the specific densities. Always derive the height using the fundamental hydrostatic equation $h = P_0 / (\rho g)$ to ensure the correct atmospheric pressure value is applied to the new fluid.

Toricelli's barometer used mercury. Pascal duplicated it using French wine of density 984 kg m__. Determine the height of the wine column for normal atmospheric pressure.

Step-by-Step Verified Solution

**Answer:** 10.5 m10.5 \text{ m} **Step-by-Step Explanation:** Atmospheric pressure P0=1.013×105P_0 = 1.013 \times 10^5 Pa. For mercury barometer: P0=ρHgghHgP_0 = \rho_{Hg} g h_{Hg} with hHg=0.76h_{Hg} = 0.76 m. For wine: P0=ρwineghwineP_0 = \rho_{wine} g h_{wine}
hwine=P0ρwineg=1.013×105984×9.8=10.5 mh_{wine} = \frac{P_0}{\rho_{wine} g} = \frac{1.013 \times 10^5}{984 \times 9.8} = 10.5 \text{ m}

All Questions in this Chapter

Q9.1 Q9.2 Q9.3 Q9.4 Q9.5 Q9.6 Q9.7 Q9.8 Q9.9 Q9.10 Q9.11 Q9.12 Q9.13 Q9.14 Q9.15 Q9.16 Q9.17 Q9.18 Q9.19 Q9.20

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