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Two capillary tubes of diameters 3.0 mm ...

Two capillary tubes of diameters `3.0 mm` and `6.0 mm` are joined together to form a `U`-tube open at both ends. If the `U`-tube is filled with water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is `7.3xx10^(2)N//m`. Take the angie of contact to be zero and density of water to be `10^(3)kg//m^(3)`(`g=9.8m//s^(2)`)

A

`5mm`

B

`10mm`

C

`15mm`

D

`20mm`

Text Solution

AI Generated Solution

To solve the problem of finding the difference in water levels in two capillary tubes of diameters 3.0 mm and 6.0 mm, we can follow these steps: ### Step 1: Understand the Capillary Rise Formula The height of liquid rise in a capillary tube is given by the formula: \[ h = \frac{2T}{\rho g r} \] where: - \( h \) = height of liquid rise - \( T \) = surface tension of the liquid ...
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