Yes, Compton scattering can be observed at various angles, and the scattering angle significantly influences the energy transferred to electrons. As the angle increases, more energy is transferred to the electron, leading to a more significant increase in the scattered photon's wavelength. This is captured in the equation Δλ = h / (me * c) * (1 - cosθ), where θ is the scattering angle. At larger angles, the term (1 - cosθ) increases, resulting in a greater change in wavelength, indicative of more substantial energy transfer to the electron and reduced energy of the scattered photon.

The change in wavelength observed in Compton scattering supports the concept of wave-particle duality. The phenomenon demonstrates the particle nature of light, where photons interact with electrons in a manner akin to particles, resulting in quantised energy transfer. However, this interaction also results in a change in wavelength, a characteristic associated with waves. Thus, Compton scattering embodies both particle and wave aspects of light, with the quantised energy transfer and change in wavelength serving as empirical evidence for the wave-particle duality concept, a fundamental principle in quantum physics.

Compton scattering has greatly influenced advancements in technology and medical imaging. The precise calculation of energy transfer and wavelength shift has enabled the development of imaging modalities like Computed Tomography (CT) scans that utilise the scattering effect to enhance image quality and detail. By understanding the energy dynamics and scattering angles, technologists can manipulate these variables to obtain optimal contrast and resolution in images, facilitating accurate diagnoses and treatments. Additionally, in industrial applications, Compton scattering aids in material analysis and quality assurance, underscoring its multidimensional impact beyond theoretical physics.

In Compton scattering, the conservation of energy is manifest in the energy transfer dynamics between photons and electrons. The initial energy of the photon before collision is distributed between the scattered photon and the recoiling electron post-collision. The scattered photon’s energy reduction is precisely equal to the energy gained by the electron. This energy conservation is quantitatively expressed through equations that account for the initial and final energies of both particles, offering insights into the discrete and quantised nature of energy transfer, pivotal in affirming the principles of quantum physics.

The change in wavelength during Compton scattering is intrinsically tied to the energy transferred to electrons. When a photon collides with an electron, a portion of its energy is imparted to the electron, causing the photon to lose energy. Given that energy and wavelength are inversely related, a decrease in photon energy results in an increase in wavelength, evidenced by Δλ = λf - λi, where λf is the final, longer wavelength and λi is the initial wavelength. This change underscores the quantum nature of light, where energy is transferred in discrete quantities, affirming the particle-like behaviour of photons.