Capillarity
Hardphysics
Rise of water (γ=0.072 N/m, θ≈0°, ρ=1000 kg/m³, g=10) in tube radius 0.5 mm?
Select the correct option:
Solution
Incorrect! Answer:
2.88 cm
- Capillary Rise Formula: h=ρgr2γcosθ.
- Identify Given Data:
- Surface Tension γ=0.072 N/m
- θ=0∘ (pure water) ⟹cos0∘=1
- Density ρ=1000 kg/m3
- Radius r=0.5 mm=5×10−4 m
- Gravity g=10 m/s2
- Calculate:
- h=1000×10×5×10−42×0.072×1
- h=10000×5×10−40.144=50.144
- h=0.0288 m.
- Converter: 0.0288 m =∗∗2.88 cm**.
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About This Question
- Subject
- physics
- Chapter
- properties of solids and liquids
- Topic
- capillarity
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
2.88 cm
- Capillary Rise Formula: h=ρgr2γcosθ.
- Identify Given Data:
- Surface Tension γ=0.072 N/m
- θ=0∘ (pure water) ⟹cos0∘=1
- Density ρ=1000 kg/m3
- Radius r=0.5 mm=5×10−4 m
- Gravity g=10 m/s2
- Calculate:
- h=1000×10×5×10−42×0.072×1
- h=10000×5×10−40.144=50.144
- h=0.0288 m.
- Converter: 0.0288 m =∗∗2.88 cm**.
This hard difficulty physics question is from the chapter properties of solids and liquids, covering the topic of capillarity. It appeared in the 2025 exam.
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