Final answer:
The question asks about the effect of a dielectric disk on the resonant frequency of a TE101 mode in a cavity resonator, which is a topic in electromagnetism and microwave engineering.
Step-by-step explanation:
The question concerns the shift of the resonant frequency due to a dielectric disk placed within a rectangular cavity resonator, specifically for a TE101 mode. In physics, especially in electromagnetism and microwave engineering, this relates to the resonant behavior of wave modes in a cavity due to boundary conditions imposed by the structure and materials within it.
A change in the dielectric properties within the cavity modifies the effective permittivity in the volume where the disk is located, thereby affecting the wavelength of the resonant mode, and thus the resonant frequency. The TE101 mode signifies a transverse electric mode with specific field distributions defined by the cavity dimensions and electromagnetic theory. Calculating such a shift requires in-depth knowledge of electromagnetic field theory, wave equations, and boundary conditions specific to cavity resonators.
To answer the question, one would typically apply Maxwell's equations, boundary conditions, and possibly perturbation theory, depending on the size of the disk relative to the cavity dimensions.