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Advanced university · Astronomy & space

Advanced university Astronomy & space practice

15 questions on cosmology, astronomical inference. The answer key is a separate download.

What is on the worksheet

  1. A model line has rest wavelength 380 nm and observed wavelength 2470 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  2. A photon-count model expects S=650 source counts and B=35 background counts. Use SNR=S/sqrt(S+B), neglecting other noise. Find SNR. Round the final result to 4 decimal places if needed.

  3. In compatible model units G=2, circular speed v=7, and orbital radius r=14. Assuming spherical symmetry, calculate enclosed mass. Round the final result to 4 decimal places if needed.

  4. In compatible model units G=2, circular speed v=30, and orbital radius r=10. Assuming spherical symmetry, calculate enclosed mass. Round the final result to 4 decimal places if needed.

  5. In compatible model units G=2, circular speed v=13, and orbital radius r=26. Assuming spherical symmetry, calculate enclosed mass. Round the final result to 4 decimal places if needed.

  6. A photon-count model expects S=170 source counts and B=175 background counts. Use SNR=S/sqrt(S+B), neglecting other noise. Find SNR. Round the final result to 4 decimal places if needed.

  7. A model line has rest wavelength 680 nm and observed wavelength 1768 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  8. In compatible model units G=2, circular speed v=12, and orbital radius r=2. Assuming spherical symmetry, calculate enclosed mass. Round the final result to 4 decimal places if needed.

  9. A model line has rest wavelength 760 nm and observed wavelength 2052 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  10. A model line has rest wavelength 480 nm and observed wavelength 4416 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  11. In a cosmological expansion model, a source has redshift 11. Find aemit/anow. Round the final result to 4 decimal places if needed.

  12. A model line has rest wavelength 790 nm and observed wavelength 2528 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  13. A model line has rest wavelength 990 nm and observed wavelength 3663 nm. Find redshift z. Round the final result to 4 decimal places if needed.

  14. In a cosmological expansion model, a source has redshift 13.1. Find aemit/anow. Round the final result to 4 decimal places if needed.

  15. In a cosmological expansion model, a source has redshift 0.7. Find aemit/anow. Round the final result to 4 decimal places if needed.