Calculate the rate of flow of glycerine of density 1.25 × 10³ kg m⁻³ through the conical section of a pipe if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length is 10 N m⁻².
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Question

Calculate the rate of flow of glycerine of density 1.25 × 10³ kg m⁻³ through the conical section of a pipe if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length is 10 N m⁻².

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G1 Physics · Accepted Answer

Step 1: Use surface-energy/pressure relations: ΔP = 2T/R for a liquid drop or 4T/R for a soap bubble, capillary rise h = 2T cosθ/(ρgr), and surface energy = TΔA. Step 2: Apply force or energy balance to the stated radii and surface areas. Applying these relations to the given data gives A: (6.43 × 10⁻⁴ m³ s⁻¹). Final answer: A.