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What is the frequency, in hertz, of a sound wave with a speed of 340 m/s and a wavelength of 0.20 m?

A. [tex]\(1.7 \times 10^4\)[/tex] Hz
B. [tex]\(7.4 \times 10^5\)[/tex] Hz
C. [tex]\(1.7 \times 10^3\)[/tex] Hz
D. [tex]\(7.4 \times 10^3\)[/tex] Hz

Sagot :

GinnyAnswer
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]
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