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Astronomy Principles and Practice Fourth Edition.pdf

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Answers to problems 467<br />

9. 5000 Å<br />

10. Lα = 1215 Å—which is in the deep ultraviolet, well absorbed by the Earth’s atmosphere<br />

11. 1·0574 × 10 8 T<br />

12. −42 km s −1<br />

13. 0·17 Å<br />

Chapter 16<br />

1. 43·6mm<br />

2. 34·4arcsecmm −1 , 0.058 mm<br />

3. Assuming that the 36 mm length is used → 137·5mm<br />

4. 1·9mm<br />

5. 2·91 × 10 −2 mm<br />

6. ≈3 × 10 7 s −1 (Assume λ = 550 nm)<br />

7. 28·6s −1 ;37·8:1<br />

8. 5090 mm (Hint: Use lens-makers formula)<br />

9. (i) 8000 mm (ii) f/16 (iii) −533 mm (iv) 1/25<br />

(Hint: Draw diagram <strong>and</strong> apply similar triangles)<br />

10. 0·53%<br />

11. 1·15%<br />

12. 0·15 arc sec<br />

Chapter 17<br />

1. 150, Yes, m > D/8<br />

2. D = 6·7 m<br />

3. 1·34 × 10 −6 rad; 1·34 × 10 −2 mm (Airy disc = 2α × F)<br />

4. Aberrated image size = 0·0025 (Hint: See example 16.2), Airy disc = 0·0013<br />

5. Aberrated image size = 0·0015 (Hint: See example 16.3), Airy disc = 0·0016<br />

6. 630 mm; 16·m2<br />

7. 208 mm<br />

8. τ = 17/10; Feb 1st 1575 (assuming no losses)<br />

9. 13·4arcsec<br />

Chapter 18<br />

1. (i) 13·9 (ii) 14·2 (both assuming no losses)<br />

2. 100 s<br />

3. 16·m3<br />

4. ≈ 10 2<br />

5. 0·26%<br />

Chapter 19<br />

1. 8·24<br />

2. 4·9<br />

3. 8·2, 86%<br />

4. 22 ◦ 36 ′

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