the radii of the two columns in U tube are r1 and

Question

the radii of the two columns in U tube are r1 and r2when a liquid of density p (rho) angle of contact = 0 degree is filled in it the level difference of liquid in two arms is h. the surface tension of liquid is

Eshan · Accepted Answer

Drop in pressure due to formation of meniscus in first column= $\dfrac{2T}{r_1}$
Drop in pressure due to formation of meniscus in first column= $\dfrac{2T}{r_2}$

Hence the heights of liquids in the two columns differ to balance the excess drop in pressure in one of hte arms.

Hence $\rho gh=2T(\dfrac{1}{r_1}-\dfrac{1}{r_2})$
$\implies T=\dfrac{\rho ghr_1r_2}{2(r_2-r_1)}$

AIPMT> the radii of the two columns in U tube ar...

the radii of the two columns in U tube are r1 and r2when a liquid of density p (rho) angle of contact = 0 degree is filled in it the level difference of liquid in two arms is h. the surface tension of liquid is

digvijay yadav , 7 Years ago

Eshan

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AIPMT> the radii of the two columns in U tube ar...

the radii of the two columns in U tube are r1 and r2when a liquid of density p (rho) angle of contact = 0 degree is filled in it the level difference of liquid in two arms is h. the surface tension of liquid is

digvijay yadav , 7 Years ago

Eshan

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