Physics: Determine the ratio of the flow rate through capillary tubes a and b (that is, qa/qb). the length of a is twice that of b, and the radius of a is one-half that of b. the pressure across both tubes is the same. express your answer using three significant figures.

Determine the ratio of the flow rate through capillary

pravikumar01

11.01.2022

$\dfrac{Q_A}{Q_B}=0.031$

Explanation:

Lets take

Radius of tube A=r

Length of tube A=L

Radius of tube B= r'

Length of tube B=L'

Given that

L = 2 L'

r= 0.5 r'

r' = 2 r

The pressure across tube given as

$\Delta p=\dfrac{8\mu LQ}{\pi R^{4}}$

$\dfrac{L_AQ_A}{ R_A^{4}}=\dfrac{L_BQ_B}{ R_B^{4}}$

$\dfrac{Q_A}{Q_B}=\dfrac{R_A^4}{R_B^4}\times \dfrac{L_B}{L_A}$

$\dfrac{Q_A}{Q_B}=\dfrac{r^4}{(2r)^4}\times \dfrac{L'}{2L'}$

$\dfrac{Q_A}{Q_B}=\dfrac{1}{16}\times \dfrac{1}{2}$

$\dfrac{Q_A}{Q_B}=0.031$

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claudia3776

02.04.2023

Hello, Tyerra11

Your answer is all of them besides the train

If my answer helped please mak me as brainliest thank you and have a great day!

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