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CHAPTER 1
ATOMS: THE QUANTUM WORLD
1.1 microwaves < visible light < ultraviolet light < x-rays < ¥ã-rays
1.3 (a) If wavelength is known, the frequency can be obtained from the
relation
8 1 9
c :
2.997 92 10 m s ( ) (925 10 m)
¥í¥ë
− ¥í −
=
¡¿ ⋅ = ¡¿
8 1
9
14 1
2.997 92 10 m s
925 10 m
3.24 10 s
¥í
−
−
−
¡¿ ⋅
=
¡¿
= ¡¿
(b) 2.997 92 ¡¿108 m⋅ s−1 = (¥í ) (4.15 ¡¿10−3 m)
8 1
3
10 1
2.997 92 10 m s
4.15 10 m
7.22 10 s
¥í
−
−
−
¡¿ ⋅
=
¡¿
= ¡¿
1.5 3
max Wiens law states that T¥ë = constant = 2.88 ¡¿10− K⋅m.
3
max
6
max
If /K 1540 C 273 C 1813 K, then 2.88 10 K m
1813 K
1.59 10 m, or 1590 nm
T ¥ë
¥ë
−
−
¡¿ ⋅
= ¡Æ + ¡Æ = =
= ¡¿
1.7 (a) From c = n¥ë and E = hn, we can write
1
34 8 9 1
19
(6.626 08 10 J s) (2.997 92 10 ) (589 10 m)
3.37 10 J
E hc¥ë −
− − −
−
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