The wavelength of sound from a turning fork of frequency 330 Hz is nearly

Options

A. 100 cm
B. 1 cm
C. 10 cm
D. 330 cm

Explanation

To find the wavelength of sound produced by a tuning fork with a frequency of 330 Hz, we can use the formula that relates the speed of sound, frequency, and wavelength:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Frequency (ν) = 330 Hz
- Speed of sound (v) = 330 m/s (standard value at room temperature)

2. **Use the Wave Equation:**
The relationship between speed (v), frequency (ν), and wavelength (λ) is given by the equation:
\[ v = ν \cdot λ \]

3. **Rearrange the Equation to Solve for Wavelength (λ):**
To find the wavelength, we can rearrange the equation:
\[ λ = \frac{v}{ν} \]

4. **Substitute the Values into the Equation:**
Now, substitute the known values into the equation:
\[ λ = \frac{330 \, \text{m/s}}{330 \, \text{Hz}} \]

5. **Calculate the Wavelength:**
Simplifying the equation gives:
\[ λ = 1 \, \text{m} \]

6. **Convert Wavelength to Centimeters:**
Since the answer is required in centimeters, we convert meters to centimeters:
\[ λ = 1 \, \text{m} = 100 \, \text{cm} \]

### Final Answer:
The wavelength of sound from a tuning fork of frequency 330 Hz is nearly **100 cm**.

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