# Worksheet: Converting between Wavelength and Frequency

In this worksheet, we will practice using the speed of light to convert between wavelengths and frequencies of electromagnetic waves.

Q1:

A uranium-237 nucleus decays, emitting a gamma ray with a wavelength of 5.96 pm. What is the frequency of the gamma ray?

• A Hz
• B Hz
• C Hz
• D Hz
• E Hz

Q2:

Microwave ovens use electromagnetic radiation with a frequency of 2.45 GHz to provide heat. What is the wavelength of this radiation?

Q3:

Chlorophyll strongly absorbs light with a wavelength 680 nm. What is the frequency of this light?

Q4:

Microwave ovens use electromagnetic radiation with a frequency of 2.45 GHz to provide heat. What is the energy per photon of this radiation?

• A J
• B J
• C J
• D J
• E J

Q5:

The atomic emission spectrum of rubidium contains lines at wavelengths of 780.0 nm and 424.4 nm. Calculate the difference in energy between these two lines.

• A J
• B J
• C J
• D J
• E J

Q6:

Calculate the energy of a photon with a wavelength of 614.5 nm.

Q7:

An FM radio station broadcasts at a frequency of s−1. Calculate the wavelength of these radio waves.

Q8:

The combined energy of two photons is 3.42 eV. The wavelength of one photon is 599 nm. What is the frequency of the second photon?

Q9:

An FM radio station broadcasts at a frequency of 105.0 MHz. Calculate the wavelength of these radio waves.

Q10:

A sodium lamp emits light with a wavelength of 589 nm. Calculate the frequency of this light.

• A Hz
• B Hz
• C Hz
• D Hz
• E Hz

Q11:

A telephone signal is transmitted using radio waves with a frequency of 850 MHz. What is the wavelength of these radio waves?