A sound wave has a frequency of 2 kHz and wavelength 35 cm. How much distance it will travel in 2 seconds?

Options

A. 0.14 m
B. 14 m
C. 140 m
D. 1400 m

Explanation

To solve the problem step by step, we will follow these procedures:

### Step 1: Write down the given data
- Frequency (f) = 2 kHz
- Wavelength (λ) = 35 cm

### Step 2: Convert the frequency to Hertz
Since 1 kHz = 1000 Hz, we convert 2 kHz to Hz:
\[ f = 2 \text{ kHz} = 2 \times 1000 \text{ Hz} = 2000 \text{ Hz} \]

### Step 3: Convert the wavelength to meters
Since 1 cm = 0.01 m, we convert 35 cm to meters:
\[ \lambda = 35 \text{ cm} = 35 \times 0.01 \text{ m} = 0.35 \text{ m} \]

### Step 4: Calculate the speed of the wave
The speed (v) of a wave is given by the formula:
\[ v = f \times \lambda \]
Substituting the values we have:
\[ v = 2000 \text{ Hz} \times 0.35 \text{ m} = 700 \text{ m/s} \]

### Step 5: Calculate the distance traveled in 2 seconds
The distance (s) traveled by the wave can be calculated using the formula:
\[ s = v \times t \]
Where:
- \( v = 700 \text{ m/s} \)
- \( t = 2 \text{ seconds} \)

Substituting the values:
\[ s = 700 \text{ m/s} \times 2 \text{ s} = 1400 \text{ m} \]

### Final Answer
The distance traveled by the sound wave in 2 seconds is **1400 meters**.

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