A pure sample of a gas is analyzed using absorption spectroscopy. The resulting spectrum shows two distinct absorption bands: Peak 1 at a wavelength of \(\lambda_1 = 280\text{ nm}\) (ultraviolet region) and Peak 2 at a wavelength of \(\lambda_2 = 5.8\ \mu\text{m}\) (\(5800\text{ nm}\), infrared region). Which of the following statements correctly identifies the type of molecular transition associated with each peak and provides the valid physical justification?