Properties of \(\gamma\)-rays:
1. High Energy: \(\gamma\)-rays are the most energetic form of electromagnetic radiation, with energies higher than X-rays.
2. Short Wavelength: \(\gamma\)-rays have very short wavelengths, typically less than \(10^{-12}\) m.
3. Penetrating Power: Due to their high energy, \(\gamma\)-rays have great penetrating power and can pass through most materials, including concrete and lead.
4. Ionizing Radiation: \(\gamma\)-rays can ionize atoms and molecules, which can damage biological tissues and DNA. They are used in cancer treatment (radiotherapy) to destroy cancer cells.
Wavelength Comparison:
The wavelength of \(\gamma\)-rays is much smaller than that of ultraviolet rays. \(\gamma\)-rays have wavelengths in the range of \(10^{-12}\) m or smaller, while ultraviolet rays have wavelengths in the range of \(10^{-8}\) m. Therefore, **\(\gamma\)-rays have a shorter wavelength than ultraviolet rays**.