You are correct that transverse waves cannot travel in a vacuum. However, electromagnetic waves are not transverse waves. They are a type of wave called a electromagnetic radiation.

Electromagnetic radiation is a type of wave that does not require a medium to travel through. This is because electromagnetic waves are self-propagating waves. This means that the electric and magnetic fields of the wave create each other. As the electric field oscillates, it creates a magnetic field. The magnetic field then oscillates, creating an electric field. This cycle of electric and magnetic fields continues as the wave travels through space.

The speed of an electromagnetic wave in a vacuum is 299,792,458 meters per second. This is the speed of light. Electromagnetic waves can travel through any medium, including air, water, and solid materials. However, the speed of an electromagnetic wave will be slower in a medium than in a vacuum.

Here are some examples of electromagnetic waves:

• Radio waves: Radio waves are used for radio broadcasting, television broadcasting, and mobile phone communications.

• Microwaves: Microwaves are used for cooking, radar, and medical imaging.

• Infrared radiation: Infrared radiation is used for remote sensing, heating, and cooking.

• Visible light: Visible light is the light that we can see. It is used for vision, photography, and lasers.

• Ultraviolet radiation: Ultraviolet radiation is used for sterilizing, tanning, and cancer treatment.

• X-rays: X-rays are used for medical imaging and materials analysis.

• Gamma rays: Gamma rays are the most energetic form of electromagnetic radiation. They are used for cancer treatment and nuclear physics research.

Electromagnetic waves are a very important part of our world. They are used for a wide variety of applications, including communication, cooking, medical imaging, and cancer treatment.