If the frequency of a wave is doubled, what happens to its wavelength?

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What’s inside this PDF?

Question: If the frequency of a wave is doubled, what happens to its wavelength?

Options:

It doubles
It halves
It remains the same
It quadruples

Correct Answer: It halves

Solution:

The speed of a wave is given by the product of its frequency and wavelength (v = fλ). If the frequency is doubled, the wavelength must be halved to keep the speed constant.

If the frequency of a wave is doubled, what happens to its wavelength?

Practice Questions

If the frequency of a wave is doubled, what happens to its wavelength?

It doubles
It halves
It remains the same
It quadruples

Questions & Step-by-Step Solutions

If the frequency of a wave is doubled, what happens to its wavelength?

Correct Answer: Wavelength is halved.

Step 1: Understand that a wave has two important properties: frequency (how many waves pass a point in a second) and wavelength (the distance between two consecutive waves).
Step 2: Know the formula that relates speed (v), frequency (f), and wavelength (λ): v = f × λ.
Step 3: Recognize that the speed of a wave in a given medium is constant.
Step 4: If the frequency of the wave is doubled, it means there are now twice as many waves passing a point in the same amount of time.
Step 5: To keep the speed of the wave the same while the frequency is doubled, the wavelength must decrease.
Step 6: Since the frequency is doubled, the wavelength must be halved to maintain the same speed.

Wave Properties – Understanding the relationship between frequency, wavelength, and wave speed.

If the frequency of a wave is doubled, what happens to its wavelength?

What’s inside this PDF?

If the frequency of a wave is doubled, what happens to its wavelength?

Practice Questions

Questions & Step-by-Step Solutions

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