If the speed of a wave is constant, what happens to the frequency of the wave if the wavelength increases?
A.The frequency increases then decreases.
B.The frequency remains constant.
C.The frequency increases.
D.The frequency decreases.

The relationship between the speed \( v \), frequency \( f \), and wavelength \( \lambda \) of a wave is given by the equation:

\[
v = f \lambda
\]

If the speed \( v \) of the wave is constant and the wavelength \( \lambda \) increases, the frequency \( f \) must decrease to keep the product \( f \lambda \) constant. This is because the two variables are inversely related: when one increases, the other must decrease for the speed to remain the same.

Thus, the correct answer is:

**D. The frequency decreases.**

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:
1. How does the speed of sound change with temperature, assuming constant frequency?
2. What is the relationship between energy and frequency in a wave?
3. How do amplitude and frequency relate to each other in terms of wave properties?
4. What happens to a wave's frequency if both speed and wavelength are doubled?
5. Can a wave's frequency change without affecting its speed?

**Tip**: Remember, frequency and wavelength have an inverse relationship if the wave speed stays constant.

If the speed of a wave is constant, what happens to the frequency of the wave if the wavelength increases?
A. The frequency increases then decreases.
B. The frequency remains constant.
C. The frequency increases.
D. The frequency decreases.

Discover how the frequency of a wave changes when the wavelength increases, given constant wave speed. This solution uses the wave speed formula v = fλ and explains the inverse relationship between frequency and wavelength. Ideal for high school students studying physics in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation