Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 312 4 c Solution 2026-09-28
The conventional vertical variable is in , plotted against the dimensionless angular multipole . The Sachs-Wolfe effect supplies a nearly flat large-angle plateau for . The total spectrum has its first acoustic peak near with of order , followed by further Cosmic microwave background acoustic peaks; the Doppler CMB anisotropy is phase shifted relative to the photon-density oscillation. At , Cosmic microwave background diffusion damping lets photons random-walk across perturbations during recombination and produces the rapidly falling damping tail.