2 capillary tubes of diameter 6mm and 3mm r joined 2gether 2 form a U-Tube open at both ends.If the U-tube s filld with water,what is its difference in its levels n the two limbs of the tube?

Surface Tension of water = 7.3*10power-2 or 7.3*10^-2 N/m.

Angle of contact to be zero.Density of water =10Kg/m3. g=10m/s2. 

Asked by prakash.vb69 | 5th Apr, 2018, 07:11: PM

Expert Answer:

This is similar to capillary rise. Compare to the limb of 6mm diameter tube, there will be rise of water column in the limb of 3mm diameter tube.
 
Rise in height h = 2S/(ρga), where S is surface tension, ρ is water density, g is acceleration due to gravity and a is radius of tube.
 
begin mathsize 12px style h space equals space fraction numerator 2 cross times 0.073 over denominator 10 cubed cross times 9.8 cross times 1.5 cross times 10 to the power of negative 3 end exponent end fraction space equals space 9.93 space cross times space 10 to the power of negative 3 end exponent space m space end style
answer is nearly 10 mm

Answered by Thiyagarajan K | 6th Apr, 2018, 11:08: AM

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