ASTR 230 Problem Set 06: Galaxy Classification, AGN, and Galaxy Evolution

Problem set for Unit 6.

Problems

1. Classifying from a description 15 points

A galaxy is described as: smooth, featureless, no cold gas detected, uniformly old red stellar population, roughly spherical. Classify its likely Hubble type and justify your answer using the physical connections from Lecture 11.

2. M-sigma relation scaling 15 points

The M-sigma relation is approximately M_BH ∝ σ^4. If galaxy A's bulge stellar velocity dispersion σ is twice galaxy B's, compute the ratio of their predicted black hole masses, M_BH,A / M_BH,B.

3. AGN luminosity and compactness 15 points

A quasar varies significantly in brightness over a timescale of 1 day. Using the light-travel-time argument (a source cannot vary coherently on a timescale shorter than the light-crossing time of its emitting region), estimate the maximum size of the emitting region in light-days, and convert this to AU (1 light-day ≈ 173 AU). Compare this size to the solar system's scale.

4. Textbook problem: unified AGN model 15 points

OpenStax Astronomy 2e (local reference copy: references/openstax-astronomy-2e-extracted.txt), Chapter 27, Review Questions (the unified model of active galactic nuclei): in 150-250 words, explain how viewing angle and accretion rate in the unified AGN model can account for the observational diversity of Seyfert galaxies, quasars, and radio galaxies.

Due and Scope

Submit a clear solution with equations, units, labeled quantities, and a short narrative interpretation for each problem. Show every step; a correct final number without visible work receives partial credit at most.

OpenStax Companion Reading

OpenStax Astronomy 2e (local reference copy: references/openstax-astronomy-2e-extracted.txt), Chapter 26.1-26.3 (galaxy types/properties) and Chapter 27.1-27.4 (active galaxies).

References and Data Sources