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Practice question

Question

A capillary tube of radius 0.65 mm is dipped in water ( S = 0.0727 N/m, rho = 1000 kg/m³, cos θ = 1 ). What is the capillary rise? (Take g = 9.8 m/s² )

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Choose one · Correct answer highlighted

Explanation

Given: A capillary tube of radius 0.65 mm is dipped in water ( S = 0.0727 N/m, rho = 1000 kg/m³, cos θ = 1 ). What is the capillary rise? (Take g = 9.8 m/s² ) These values define the system as per NCERT data. Formula: h = 2 S cos θ/rho g a. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: S = 0.0727 N/m, rho = 1000 kg/m³, g = 9.8 m/s², a = 0.65 × 10⁻³ m . h = frac2 × 0.0727 × 11000 × 9.8 × 0.65 × 10⁻³= 0.02285 m = 2.285 cm . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

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