https://file.aiquickdraw.com/mathbot/file/1725562616246644wg7pg.pdf

Sure! Let's begin with **Question 6** from your document, which focuses on the **Doppler Effect**.

Here is the breakdown:

---

### **QUESTION 6**

The data provided shows the relationship between the velocities of a moving sound source and the frequencies detected by a stationary listener.

| **Experiment number** | 1  | 2  | 3  | 4  |
|-----------------------|----|----|----|----|
| **Velocity of sound source (m/s)** | 0  | 10 | 20 | 30 |
| **Frequency (Hz) of sound detected** | 900 | 874 | 850 | 827 |

#### 6.1
1. **Dependent variable**: The frequency of the sound detected (as it depends on the velocity of the sound source).
2. **Independent variable**: The velocity of the sound source (as it is controlled and varied in the experiment).

#### 6.2
**Definition of Doppler Effect**: The Doppler Effect is the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source.

#### 6.3
**Is the sound source moving TOWARDS or AWAY from the listener?**
- **Answer**: The sound source is moving **away** from the listener.
- **Reason**: The frequency detected by the listener decreases as the velocity of the sound source increases, which indicates the source is moving away.

#### 6.4
**Calculate the speed of sound**:

The Doppler Effect formula for a source moving away from the listener is:

\[
f' = \frac{f}{1 + \frac{v_s}{v}}
\]

Where:
- \(f'\) = observed frequency
- \(f\) = original frequency
- \(v_s\) = velocity of the sound source
- \(v\) = speed of sound

Using the data from experiment 2:
- \(f' = 874 \, \text{Hz}\)
- \(f = 900 \, \text{Hz}\)
- \(v_s = 10 \, \text{m/s}\)

Let’s calculate the speed of sound \(v\).

---

I'll calculate the speed of sound now.The calculated speed of sound during the investigation is approximately **336.15 m/s**.

---

Would you like further details or have any questions? Here are 5 related questions to expand on this topic:

1. How does the Doppler Effect apply to light waves in astronomy?
2. How does the speed of sound vary with temperature?
3. What is the difference between a sound source moving towards and away from the listener in the Doppler Effect?
4. Can the Doppler Effect be used to measure the speed of vehicles?
5. How do wind conditions affect the Doppler Effect in real-world applications?

**Tip**: The Doppler Effect is commonly used in radar and medical imaging (like ultrasound) to detect motion and changes in speed!

This page explores a Grade 12 Physics problem related to the Doppler Effect. It includes a detailed analysis of sound wave frequency changes due to a moving sound source, with calculations using the Doppler Effect formula. Learn about dependent and independent variables and the speed of sound during an investigation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation