Scope: Lectures 07-08. Four questions; submit derivations and code/output where requested.
State units and model assumptions. Keep unrounded values in code and round only in your final communication. Revisions and resubmissions are encouraged.
Question 1
Convert Planck's 100 theta-star=1.0411±0.0003 to theta-star in radians, degrees, and arcminutes. Propagate the quoted error.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 2
Derive theta-star=r_s(z*)/D_M(z*) and identify which factors are mainly early-universe and late-universe dependent.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 3
A student calls the lecture's oscillatory C_ell sketch 'the Planck spectrum.' Identify the evidentiary error and rewrite the caption accurately.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 4
Explain why a precise acoustic angle does not determine H0 without assumptions about sound-horizon physics, curvature, and the expansion model.
Work to show: equations, units, assumptions, and a reproducible computation where requested.