Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.