## Calculating Frequency Wavelength and Energy Worksheet Answer Key

In the study of physics, frequency, wavelength, and energy are important concepts that are interrelated and used to describe various phenomena in the physical world. Understanding how to calculate these values is essential for students to grasp the core principles of physics. In this worksheet answer key, we will discuss how to calculate frequency, wavelength, and energy, and provide examples to help students practice these calculations.

### Frequency

The frequency of a wave is the number of complete cycles that pass a given point in a certain amount of time. It is measured in hertz (Hz), with one hertz being equal to one cycle per second. The formula to calculate frequency is:

**Frequency = Speed of the wave / Wavelength**

For example, if a wave travels at a speed of 300,000,000 meters per second and has a wavelength of 600 meters, the frequency would be:

**Frequency = 300,000,000 m/s / 600 m = 500,000 Hz**

### Wavelength

Wavelength is the distance between two successive points on a wave that are in phase, such as two peaks or two troughs. It is typically measured in meters. The formula to calculate wavelength is:

**Wavelength = Speed of the wave / Frequency**

Using the same example as above, if the speed of the wave is 300,000,000 meters per second and the frequency is 500,000 Hz, the wavelength would be:

**Wavelength = 300,000,000 m/s / 500,000 Hz = 600 meters**

### Energy

The energy of a wave is directly proportional to its frequency and inversely proportional to its wavelength. The formula to calculate energy is:

**Energy = Planck’s constant x Frequency**

Planck’s constant is a physical constant that relates the energy of a photon to its frequency. It is approximately 6.626 x 10^-34 joules per second. Using this constant, we can calculate the energy of a wave with a frequency of 500,000 Hz:

**Energy = 6.626 x 10^-34 J/s x 500,000 Hz = 3.313 x 10^-28 J**

### Worksheet Answer Key

Now that we have discussed how to calculate frequency, wavelength, and energy, let’s practice these calculations with some examples:

**Example 1:**A wave with a frequency of 1,000 Hz has a wavelength of 0.5 meters. Calculate the speed of the wave.**Example 2:**A wave with a speed of 200 m/s has a frequency of 400 Hz. Calculate the wavelength of the wave.**Example 3:**Calculate the energy of a wave with a frequency of 1,000 Hz and a wavelength of 0.5 meters.

**Solution:** Speed = Frequency x Wavelength = 1,000 Hz x 0.5 m = 500 m/s

**Solution:** Wavelength = Speed / Frequency = 200 m/s / 400 Hz = 0.5 meters

**Solution:** Energy = Planck’s constant x Frequency = 6.626 x 10^-34 J/s x 1,000 Hz = 6.626 x 10^-31 J

By practicing these calculations, students can gain a better understanding of the concepts of frequency, wavelength, and energy, and how they are interrelated. This worksheet answer key provides a guide for students to check their work and improve their problem-solving skills in physics.