To find the frequency of a sound wave given its speed and wavelength, we can use the formula:
[tex]\[ \text{Frequency} = \frac{\text{Speed of Sound}}{\text{Wavelength}} \][/tex]
Given the values:
- Speed of sound, [tex]\( v = 340 \, \text{m/s} \)[/tex]
- Wavelength, [tex]\( \lambda = 0.20 \, \text{m} \)[/tex]
We substitute these values into the formula to find the frequency:
[tex]\[ \text{Frequency} = \frac{340 \, \text{m/s}}{0.20 \, \text{m}} \][/tex]
Now, calculate the quotient:
[tex]\[ \text{Frequency} = 1700 \, \text{Hz} \][/tex]
In scientific notation, this is written as:
[tex]\[ 1700 \, \text{Hz} = 1.7 \times 10^3 \, \text{Hz} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{1.7 \times 10^3 \, \text{Hz}} \][/tex]
