A monochromatic light beam traveling inside a glass block of refractive index \(n_{\text{glass}}\rangle\) strikes a flat interface with an adjacent liquid of refractive index \(n_{\text{liquid}}\), where \(n_{\text{glass}} > n_{\text{liquid}}\). The refractive index of the liquid decreases as its temperature increases, while \(n_{\text{glass}}\) remains constant. At room temperature, the angle of incidence \(\theta_i\) at the interface is fixed at a value slightly less than the critical angle \(\theta_c\), so light refracts into the liquid. As the temperature of the liquid is gradually increased, how does the critical angle \(\theta_c\) change, and what change is observed in the light beam at the interface?