Waves online worksheet - Free Printable

Let's go through each question step by step based on the electromagnetic spectrum and wave properties shown in the image.

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1. Which statement accurately describes the two waves below?

We are given two wave diagrams:

- The left wave has a shorter wavelength (more waves per unit length).
- The right wave has a longer wavelength (fewer waves per unit length).

Both waves appear to have the same amplitude.

Answer:
The left wave has a higher frequency and shorter wavelength, while the right wave has a lower frequency and longer wavelength.

> ✔ Correct description: *The wave on the left has a higher frequency and shorter wavelength than the wave on the right.*

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2. Which wave is carrying the most energy?

We are shown three waves with different amplitudes:
- Low amplitude
- Medium amplitude
- High amplitude

All three waves appear to have the same wavelength and frequency (same number of cycles over the same distance), so frequency is constant.

Energy in a wave depends on:
- Amplitude (for mechanical waves like sound)
- Frequency (for electromagnetic waves)

But since this appears to be a general wave diagram, we consider that amplitude relates to energy in many contexts (especially for sound or water waves). For electromagnetic waves, energy is determined by frequency, not amplitude. However, here the context seems more general.

But note: In the electromagnetic spectrum, energy increases with frequency, not amplitude. Amplitude affects brightness/intensity, but not the energy per photon.

However, in mechanical waves (like sound), amplitude determines loudness and energy.

Since the question shows amplitude differences and asks which carries most energy, and there’s no indication of frequency difference, we assume energy is proportional to amplitude.

So:
- The high-amplitude wave carries the most energy.

> ✔ Answer: The wave with high amplitude is carrying the most energy.

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3. What happens to the wavelength of a wave as frequency increases?

This is based on the wave equation:

$$
v = f \lambda
$$

Where:
- $ v $ = wave speed (constant for a given medium)
- $ f $ = frequency
- $ \lambda $ = wavelength

If frequency ($ f $) increases, and speed ($ v $) stays constant, then wavelength ($ \lambda $) must decrease.

> ✔ Answer: The wavelength decreases as frequency increases.

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4. What two factors cause waves to carry more energy?

For electromagnetic waves:
- Energy is directly proportional to frequency (E = hf, where h is Planck’s constant).

For mechanical waves (like sound or water):
- Energy depends on amplitude and frequency.

So generally, the two factors are:
1. Higher frequency
2. Greater amplitude

> ✔ Answer: Frequency and amplitude cause waves to carry more energy.

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5. Fill in the blanks for the electromagnetic spectrum below:

> On the electromagnetic spectrum as the wavelength decreases, frequency _____________.
> As the wavelength ____________, frequency decreases.
> ____________ and ____________ determine the amount of energy a wave is carrying, so the higher and shorter a wave is then the ____________ the amplitude and the ____________ the frequency. As energy transfer decreases, the amplitude ____________ causing a sound to get ____________.

Now let’s fill in the blanks using knowledge of the EM spectrum:

1. As wavelength decreases, frequency increases → because $ f = v / \lambda $
2. As wavelength increases, frequency decreases.
3. Frequency and amplitude determine energy (though for EM waves, it's mainly frequency; amplitude affects intensity).
4. "The higher and shorter a wave is" → meaning high frequency and short wavelength → so higher amplitude and higher frequency.
- But note: "higher and shorter" likely refers to frequency and wavelength, not amplitude.
- So rephrasing: “the higher (frequency) and shorter (wavelength)” → implies higher frequency, and higher amplitude if implied.
5. As energy transfer decreases, amplitude decreases, causing a sound to get quieter.

But note: This sentence mixes EM waves and sound — so it's a bit ambiguous.

Let’s interpret carefully.

Final filled version:

> On the electromagnetic spectrum as the wavelength decreases, frequency increases.
> As the wavelength increases, frequency decreases.
> Frequency and amplitude determine the amount of energy a wave is carrying, so the higher and shorter a wave is then the greater the amplitude and the higher the frequency. As energy transfer decreases, the amplitude decreases causing a sound to get quieter.

⚠️ Note: There's a slight inconsistency. For EM waves, amplitude does not affect energy per photon, only frequency does. But amplitude affects intensity (brightness/loudness). So in a broader sense, both matter.

Also, the last part about "sound" suggests it's referring to mechanical waves, so amplitude directly affects loudness.

Thus, the answer is acceptable in a general science context.

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✔ Final Answers:

#### 1.
The wave on the left has a higher frequency and shorter wavelength than the wave on the right.

#### 2.
The wave with high amplitude is carrying the most energy.

#### 3.
As frequency increases, wavelength decreases.

#### 4.
Frequency and amplitude cause waves to carry more energy.

#### 5.
On the electromagnetic spectrum as the wavelength decreases, frequency increases.
As the wavelength increases, frequency decreases.
Frequency and amplitude determine the amount of energy a wave is carrying, so the higher and shorter a wave is then the greater the amplitude and the higher the frequency. As energy transfer decreases, the amplitude decreases causing a sound to get quieter.

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