QuestionJuly 31, 2025

If the interrogation angle is increased from 45^circ to 90^circ what will happen to the measured velocity of the blood flow? A It increases B It decreases C it remains unchanged D It will be zero

If the interrogation angle is increased from 45^circ to 90^circ what will happen to the measured velocity of the blood flow? A It increases B It decreases C it remains unchanged D It will be zero
If the interrogation angle is increased from 45^circ to 90^circ what will happen to the measured velocity of the blood flow? A It increases B It decreases C it remains unchanged D It will be zero

Solution
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Answer

(D) It will be zero Explanation 1. Understand the Doppler Effect in Ultrasound The measured velocity of blood flow using ultrasound is given by **v_m = v \cdot \cos(\theta)**, where v is the actual velocity and \theta is the interrogation angle. 2. Analyze the Change in Angle At \( \theta = 45^{\circ} \), **\cos(45^{\circ}) = \frac{\sqrt{2}}{2}**. At \( \theta = 90^{\circ} \), **\cos(90^{\circ}) = 0**. 3. Determine the Effect on Measured Velocity Increasing the angle to \( 90^{\circ} \) makes **v_m = v \cdot 0 = 0**.

Explanation

1. Understand the Doppler Effect in Ultrasound<br /> The measured velocity of blood flow using ultrasound is given by **$v_m = v \cdot \cos(\theta)$**, where $v$ is the actual velocity and $\theta$ is the interrogation angle.<br /><br />2. Analyze the Change in Angle<br /> At \( \theta = 45^{\circ} \), **$\cos(45^{\circ}) = \frac{\sqrt{2}}{2}$**. At \( \theta = 90^{\circ} \), **$\cos(90^{\circ}) = 0$**.<br /><br />3. Determine the Effect on Measured Velocity<br /> Increasing the angle to \( 90^{\circ} \) makes **$v_m = v \cdot 0 = 0$**.
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