QUESTION 6 Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct? P, A P2 P = 100 mmHg P2 = 10 mmHg %3D В P2 P = 500 mmHg P2 = 410 mmHg Blood flow rate is equal in vessels A and B O Blood flow rate is greater in vessel B as compared to vessel A O Blood flow only occurs in vessel B due to the high pressures O Blood flow will occur from P2 to P1 in vessel A

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**Question 6**

Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct?

![Diagram](image_url)
 
*Figure Description*:
- Two cylindrical vessels (pipes) labeled A and B are shown.
- Vessel A is labeled with \(P_1\) and \(P_2\) at either end with pressure values: \(P_1 = 100 \text{ mmHg}\) and \(P_2 = 10 \text{ mmHg}\).
- Vessel B is similarly labeled with \(P_1\) and \(P_2\) with pressure values: \(P_1 = 500 \text{ mmHg}\) and \(P_2 = 410 \text{ mmHg}\).

*Answer Options*:
- ☐ Blood flow rate is equal in vessels A and B
- ☐ Blood flow rate is greater in vessel B as compared to vessel A
- ☐ Blood flow only occurs in vessel B due to the high pressures
- ☐ Blood flow will occur from \(P_2\) to \(P_1\) in vessel A

**Explanation**:

Given the same resistance in vessels A and B, according to Poiseuille's law for fluid flow through a cylindrical vessel, the flow rate \(Q\) is proportional to the pressure gradient \(\Delta P\) (\( \Delta P = P_1 - P_2 \)).

In vessel A:
\[ \Delta P_A = P_1 - P_2 = 100 \text{ mmHg} - 10 \text{ mmHg} = 90 \text{ mmHg} \]

In vessel B:
\[ \Delta P_B = P_1 - P_2 = 500 \text{ mmHg} - 410 \text{ mmHg} = 90 \text{ mmHg} \]

Since the pressure gradients are equal (\( \Delta P_A = \Delta P_B \)) and the resistance \(R\) is also equal, the flow rate \(Q\) will be the same in both vessels (according to \( Q = \frac{\Delta P}{R} \)).

Therefore, the correct answer is:
- ☑ Blood flow rate is equal in vessels A and B
Transcribed Image Text:**Question 6** Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct? ![Diagram](image_url) *Figure Description*: - Two cylindrical vessels (pipes) labeled A and B are shown. - Vessel A is labeled with \(P_1\) and \(P_2\) at either end with pressure values: \(P_1 = 100 \text{ mmHg}\) and \(P_2 = 10 \text{ mmHg}\). - Vessel B is similarly labeled with \(P_1\) and \(P_2\) with pressure values: \(P_1 = 500 \text{ mmHg}\) and \(P_2 = 410 \text{ mmHg}\). *Answer Options*: - ☐ Blood flow rate is equal in vessels A and B - ☐ Blood flow rate is greater in vessel B as compared to vessel A - ☐ Blood flow only occurs in vessel B due to the high pressures - ☐ Blood flow will occur from \(P_2\) to \(P_1\) in vessel A **Explanation**: Given the same resistance in vessels A and B, according to Poiseuille's law for fluid flow through a cylindrical vessel, the flow rate \(Q\) is proportional to the pressure gradient \(\Delta P\) (\( \Delta P = P_1 - P_2 \)). In vessel A: \[ \Delta P_A = P_1 - P_2 = 100 \text{ mmHg} - 10 \text{ mmHg} = 90 \text{ mmHg} \] In vessel B: \[ \Delta P_B = P_1 - P_2 = 500 \text{ mmHg} - 410 \text{ mmHg} = 90 \text{ mmHg} \] Since the pressure gradients are equal (\( \Delta P_A = \Delta P_B \)) and the resistance \(R\) is also equal, the flow rate \(Q\) will be the same in both vessels (according to \( Q = \frac{\Delta P}{R} \)). Therefore, the correct answer is: - ☑ Blood flow rate is equal in vessels A and B
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