A container, whose bottom has round holes with diameter 0.1 mm is filled with water. The maximum height in cm up to which water can be filled without leakage will be what? Surface tension = 75 × 10⁻³ N m⁻¹ and g = 10 m s⁻²:
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Question

A container, whose bottom has round holes with diameter 0.1 mm is filled with water. The maximum height in cm up to which water can be filled without leakage will be what? Surface tension = 75 × 10⁻³ N m⁻¹ and g = 10 m s⁻²:

Options

G1 Physics · Accepted Answer

Step 1: The maximum hydrostatic pressure sustainable at the hole is balanced by surface-tension pressure 4T/d (radius d/2 gives 2T/r=4T/d). Step 2: ρgh=4T/d, so h=4(75×10⁻³)/(1000×10×10⁻4)=0.30 m=30 cm. Final answer: C.