Cismele 10 PUYExs and WAYYs Rhysical Sclemse Classtrork Question 1 A certain wave has a speed of $$ 0.4 \mathrm{~m} . \mathrm{s}^{\prime} $$ and a wavelength of 2 m . Calculate its: a. Frequency h. Period

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Certainly! Let's tackle **Question 1** step by step.

### **Given:**
- **Wave Speed (v):** $$ 0.4 \, \text{m/s} $$
- **Wavelength ($$ \lambda $$):** $$ 2 \, \text{m} $$

### **a. Calculating the Frequency ($$ f $$)**

**Formula:**
$$ v = f \times \lambda $$

**Rearranging to find Frequency ($$ f $$):**
$$ f = \frac{v}{\lambda} $$

**Plugging in the values:**
$$ f = \frac{0.4 \, \text{m/s}}{2 \, \text{m}} = 0.2 \, \text{Hz} $$

**Answer:**
$$ \boxed{0.2\,\mathrm{Hz}} $$

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### **b. Calculating the Period ($$ T $$)**

**Definition:**
- **Period ($$ T $$)** is the reciprocal of frequency.

**Formula:**
$$ T = \frac{1}{f} $$

**Plugging in the frequency:**
$$ T = \frac{1}{0.2 \, \text{Hz}} = 5 \, \text{seconds} $$

**Answer:**
$$ \boxed{5\,\mathrm{seconds}} $$

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### **Summary:**
- **Frequency ($$ f $$)**: $$ 0.2 \, \text{Hz} $$
- **Period ($$ T $$)**: $$ 5 \, \text{seconds} $$

If you have any further questions or need additional clarification, feel free to ask!
**Frequency:** 0.2 Hz **Period:** 5 seconds

Cismele 10 PUYExs and WAYYs Rhysical Sclemse Classtrork Question 1 A certain wave has a speed of \( 0.4 \mathrm{~m} . \mathrm{s}^{\prime} \) and a wavelength of 2 m . Calculate its: a. Frequency h. Period

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