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Calculate the wavelength of a sound wave...

Calculate the wavelength of a sound wave having a frequency `300 Hz` and speed `330 m//s`.

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To calculate the wavelength of a sound wave with a frequency of 300 Hz and a speed of 330 m/s, we can use the formula that relates wave speed (v), frequency (f), and wavelength (λ): \[ v = f \times \lambda \] Where: - \( v \) is the speed of sound (330 m/s), - \( f \) is the frequency (300 Hz), - \( \lambda \) is the wavelength. ### Step-by-Step Solution: 1. **Identify the given values**: - Frequency (f) = 300 Hz - Speed of sound (v) = 330 m/s 2. **Rearrange the formula to solve for wavelength (λ)**: \[ \lambda = \frac{v}{f} \] 3. **Substitute the known values into the equation**: \[ \lambda = \frac{330 \, \text{m/s}}{300 \, \text{Hz}} \] 4. **Perform the division**: - First, simplify the fraction: \[ \lambda = \frac{330}{300} \] - This can be simplified by dividing both the numerator and denominator by 30: \[ \lambda = \frac{11}{10} \] 5. **Convert the fraction to decimal form**: \[ \lambda = 1.1 \, \text{m} \] ### Final Result: The wavelength (λ) of the sound wave is **1.1 meters**. ---

To calculate the wavelength of a sound wave with a frequency of 300 Hz and a speed of 330 m/s, we can use the formula that relates wave speed (v), frequency (f), and wavelength (λ): \[ v = f \times \lambda \] Where: - \( v \) is the speed of sound (330 m/s), - \( f \) is the frequency (300 Hz), - \( \lambda \) is the wavelength. ...
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