A student observes two transverse waves with different frequencies. Wave A has a frequency of 5 waves per second, and Wave B has a frequency of 10 waves per second.

Which statement best describes the pattern between frequency and wavelength for these waves?
A.Wave B has a longer wavelength than Wave A.
B.Wave B has a shorter wavelength than Wave A.
C.Both waves have the same wavelength.
D.The wavelength is not affected by the frequency.

The correct answer is:

**B. Wave B has a shorter wavelength than Wave A.**

### Explanation:
The relationship between frequency (\( f \)) and wavelength (\( \lambda \)) is given by the wave equation:
\[
v = f \cdot \lambda
\]
where \( v \) is the wave speed.

Assuming both waves travel at the same speed, a higher frequency will correspond to a shorter wavelength, and a lower frequency will correspond to a longer wavelength. Since Wave B has a higher frequency (10 waves per second) than Wave A (5 waves per second), it will have a shorter wavelength than Wave A.

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### Related Questions:
1. How does wave speed affect the relationship between frequency and wavelength?
2. If Wave A’s frequency doubled, how would its wavelength change?
3. What is the relationship between energy and frequency for transverse waves?
4. How can we calculate the wavelength if we know wave speed and frequency?
5. Why is wavelength inversely proportional to frequency in wave equations?

**Tip:** For waves in the same medium, increasing frequency always results in a decrease in wavelength.

A student observes two transverse waves with different frequencies. Wave A has a frequency of 5 waves per second, and Wave B has a frequency of 10 waves per second. Which statement best describes the pattern between frequency and wavelength for these waves? A.Wave B has a longer wavelength than Wave A. B.Wave B has a shorter wavelength than Wave A. C.Both waves have the same wavelength. D.The wavelength is not affected by the frequency.

Explore how frequency affects wavelength in transverse waves with a practical example. Given Wave A at 5 waves per second and Wave B at 10 waves per second, learn why higher frequency results in a shorter wavelength. Suitable for Grades 8-10 students interested in wave properties and frequency relationships.

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