10. Calculate the frequency of a wove with ax 10.1 epeed of $$ 200 \mathrm{~ms} \mathrm{~s}^{-1} $$ and a wavelength of 1200 m 10.2 wavelength of 50 m and a speed of $$ 250 \mathrm{~m}-2 $$. 11. Calculate the wavelength of a wave with a 11.1 trequency of 20 Hz and a speed of $$ 120 \mathrm{~m}-5^{-1} $$ 11.2 speed of $$ 150 \mathrm{~m}^{-2} $$ and of trequiency of 30 Hz

Question

UpStudy AI · Accepted Answer

Certainly! Let's tackle each of the problems step by step. We'll use the fundamental wave relationships:

1. **Frequency (f)** is given by:
   $$
   f = \frac{v}{\lambda}
   $$
   where:
   - $$ v $$ = speed of the wave
   - $$ \lambda $$ = wavelength

2. **Wavelength ($$ \lambda $$)** is given by:
   $$
   \lambda = \frac{v}{f}
   $$
   where:
   - $$ v $$ = speed of the wave
   - $$ f $$ = frequency

---

### 10. Calculate the Frequency of a Wave

#### 10.1. Given:
- **Speed ($$ v $$)**: $$ 200 \, \text{m/s} $$
- **Wavelength ($$ \lambda $$)**: $$ 1200 \, \text{m} $$

**Calculation:**
$$
f = \frac{v}{\lambda} = \frac{200 \, \text{m/s}}{1200 \, \text{m}} = \frac{1}{6} \, \text{Hz} \approx 0.1667 \, \text{Hz}
$$

**Answer:** The frequency is approximately **0.1667 Hz**.

---

#### 10.2. Given:
- **Wavelength ($$ \lambda $$)**: $$ 50 \, \text{m} $$
- **Speed ($$ v $$)**: $$ 250 \, \text{m/s} $$

**Calculation:**
$$
f = \frac{v}{\lambda} = \frac{250 \, \text{m/s}}{50 \, \text{m}} = 5 \, \text{Hz}
$$

**Answer:** The frequency is **5 Hz**.

---

### 11. Calculate the Wavelength of a Wave

#### 11.1. Given:
- **Frequency ($$ f $$)**: $$ 20 \, \text{Hz} $$
- **Speed ($$ v $$)**: $$ 120 \, \text{m/s} $$

**Calculation:**
$$
\lambda = \frac{v}{f} = \frac{120 \, \text{m/s}}{20 \, \text{Hz}} = 6 \, \text{m}
$$

**Answer:** The wavelength is **6 meters**.

---

#### 11.2. Given:
- **Speed ($$ v $$)**: $$ 150 \, \text{m/s} $$
- **Frequency ($$ f $$)**: $$ 30 \, \text{Hz} $$

**Calculation:**
$$
\lambda = \frac{v}{f} = \frac{150 \, \text{m/s}}{30 \, \text{Hz}} = 5 \, \text{m}
$$

**Answer:** The wavelength is **5 meters**.

---

### Summary of Results

| Problem | Given                          | Calculated Frequency/Wavelength |
|---------|--------------------------------|---------------------------------|
| 10.1    | $$ v = 200 \, \text{m/s} $$, $$ \lambda = 1200 \, \text{m} $$ | $$ f \approx 0.1667 \, \text{Hz} $$ |
| 10.2    | $$ v = 250 \, \text{m/s} $$, $$ \lambda = 50 \, \text{m} $$   | $$ f = 5 \, \text{Hz} $$            |
| 11.1    | $$ f = 20 \, \text{Hz} $$, $$ v = 120 \, \text{m/s} $$       | $$ \lambda = 6 \, \text{m} $$       |
| 11.2    | $$ f = 30 \, \text{Hz} $$, $$ v = 150 \, \text{m/s} $$       | $$ \lambda = 5 \, \text{m} $$       |

---

If you have any further questions or need additional explanations, feel free to ask!
**Calculations:** 1. **Frequency:** - **Problem 10.1:** Speed = 200 m/s, Wavelength = 1200 m Frequency = 200 / 1200 = 0.1667 Hz **Answer:** 0.1667 Hz - **Problem 10.2:** Wavelength = 50 m, Speed = 250 m/s Frequency = 250 / 50 = 5 Hz **Answer:** 5 Hz 2. **Wavelength:** - **Problem 11.1:** Frequency = 20 Hz, Speed = 120 m/s Wavelength = 120 / 20 = 6 m **Answer:** 6 meters - **Problem 11.2:** Speed = 150 m/s, Frequency = 30 Hz Wavelength = 150 / 30 = 5 m **Answer:** 5 meters **Summary:** - **10.1:** 0.1667 Hz - **10.2:** 5 Hz - **11.1:** 6 meters - **11.2:** 5 meters

Real Tutor Solution

Answer

Solution

Mind Expander

Related Questions

Latest Physics Questions