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1213_Physics ProblemsTechnical Physics

# 1213_Physics ProblemsTechnical Physics - 554*P43.18...

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554 Molecules and Solids *P43.18 We find an average spacing between peaks by counting 22 gaps between 7 96 10 13 . × Hz and 9 24 10 13 . × Hz : f h h I I h f = = × = F H G I K J = = × × = × 9 24 7 96 10 0 058 2 10 1 4 4 6 63 10 4 5 82 10 2 9 10 13 13 2 2 2 34 2 11 47 . . . . . . a f Hz 22 Hz J s s kg m 2 π π π *P43.19 We carry extra digits through the solution because the given wavelengths are close together. (a) E v hf I J J vJ = + F H G I K J + + 1 2 2 1 2 = a f = = + = + = + = = × × × E hf E hf I E hf I E E hf I hc 00 11 2 02 2 11 00 2 34 8 6 1 2 3 2 1 2 3 6 626 075 10 2 997 925 10 2 211 2 10 , , . . . = = = λ J s m s m e je j + = × hf I = 2 20 8 983 573 10 . J (1) E E hf I hc 11 02 2 34 8 6 2 6 626 075 10 2 997 925 10 2 405 4 10 = = = × × × = λ . . . J s m s m e je j = × hf I 2 8 258 284 10 2 20 = . J (2) Subtract (2) from (1): 3 7 252 89 10 2 21 = I = × . J = × × = × I 3 1 054 573 10
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