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A liquid of density 900 kg//m^3 is ...

A liquid of density 900 ` kg//m^3 ` is filled in a cylindrical tank open from top of upper radius 0.9 m and lower radius 0.3 m. A capillary tube of length l is attached at the bottom of the tank as shown in the figure. The capillary has outer radius 0.002 m and inner radius a.
When pressure p is applied at the top of the tank volume flow rate of the liquid is ` 8 xx 10 ^(-6 ) m^3// s ` and if capillary tube is detached, the liquid comes out from the tank with a velocity 10 m/s
[Given : ` pi a ^2 = 10 ^(-6) m^ 2 and a ^ 2//1 = 2 xx 10 ^(-6) m ]`
Determine the coefficient of viscosity in SI units when the capillary tube is attached :

A

`eta=1.25xx10^(-3)N-s//m^(2)`

B

`eta=2.50xx10^(-3)N-s//m^(2)`

C

`eta=5.00xx10^(-3)N-s//m^(2)`

D

`eta=7.25xx10^(-3)N-s//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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