Question #224047

Two glass tubes diameter 2 and 4 mm respectively, are attached to the side of a water tank to measure the level inside the tank, (surface tension = 0.074N/m)

Use this information to express the c apillary rise in the tube in the form h= mr + c where m and c are constants and r is the tube radius and hence determine the ideal tube diameter

Expert's answer

"h_1 = \\dfrac{2\\sigma \\cos\\theta}{\\rho gr} = \\dfrac{2\u00d70.074\u00d7 (1)}{10^3\u00d710\u00d72\u00d710^{-3}}"

"=0.0074m"

"h_2= \\dfrac{2\\sigma\\ cos\\theta}{\\rho gr} = \\dfrac{2\u00d70.074\u00d7(\\approx 1)}{10^3\u00d710\u00d74\u00d710^{-3}}"

"=0.0037m"

"0.0074 = 0.002m + c\\\\\n0.0037= 0.004m+c"

"c=0.0111 \\ \\ m=\u22121.85"

"\\therefore" The final equation is;

"h=-1.85r + 0.0111"

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Salman13.08.21, 10:57Thanks a lot

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