# 9he09.midterm.answers.final - 1 Physics 9HE-Modern Physics...

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Unformatted text preview: 1 Physics 9HE-Modern Physics Midterm February 5, 2009 (100 points total) You may tear off this sheet. ---------------------------------------------------------------------------------------------- Miscellaneous data and equations: c = 3.00 x 10 8 m/s e = 1.60 x 10-19 C 1 eV = 1.60 x 10-19 J 1 Å = 10-10 m M Sun = 2 x 10 30 kg M Earth = 5.98 x 10 24 kg r Earth = 6.38 x 10 6 m m e = 9.1094 x 10-31 kg = 0.5110 MeV/c 2 m p = 1.6726 x 10-27 kg = 938.27 MeV/c 2 m n = 1.6749 x 10-27 kg = 939.57 MeV/c 2 1 u = 1.6605 x 10-27 kg = 931.49 MeV/c 2 m( 1 H) = 1.0078 u G = 6.67 x 10-11 Nt-m 2 /kg 2 g = 9.81 m/s 2 = 5.67 x 10-8 W-m-2-K-4 h = 6.63 x 10-34 J-s = h/2 = 1.05 x 10-34 J-s k B = 1.38 x 10-23 J-K-1 a = 0.529 Å N(t) = N o exp(-t/ O ) = N o exp(-0.693t/ 1/2 ) k C 1/(4 o ) = 8.98 x 10 9 N-m 2-C-2 R H = 1.09678 x 10 7 m-1 2 2 2 1/ 2 2 1/ 2 1 1 1 0.5 (1 ) (1 ) if v c v c = v/c = [( 2-1)/ 2 ] 1/2 T= T o L = L o / 1/ 2 1/ 2 (1 ) [1 ] 1 (1 ) for = c/ (lect.) = f(book) 2 2 2 2 2 2 4 p m u E m c K m c E p c m c 2 2 2 1 2 1 1 2 ( 1 ) Sch T G M g H G M E pc h if R T r r c c c max T = 2.898 x 10-3 m-K 2 5 2 1 ( , ) 1 hc kT c h I T e R(T) = T 4 h = K max + n = 2dsin 2 1 2 coul C radial 2 q q mv F k F r r 2 2 4 0.529 e a m e Å = h/p p = k x p x /2 E t /2 ph v = /k gr v = d /dk ix ix ix ix ix 1 1 e cos x i sin x cos x e e sin x e e 2 2 i sin 2t = 2 sin t cos t cos 2t = cos 2 t – sin 2 t = 2 cos 2 t – 1 = 1 – 2 sin 2 t n n n n 1 n 1 n n a 2 n 2 n 2 n ( x ) a cos( x ) b sin( x ), with k , and 2 2 2 n 2 2 n a aver. of over , a ( x')cos( x')dx', b ( x')sin( x')dx' ikx ikx' 1 1 ( x ) c(k )e dk, with c(k ) ( x') e d x ' 2 2 ˆ H i t ˆ ˆ H K V iE t i t e e ˆ...
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9he09.midterm.answers.final - 1 Physics 9HE-Modern Physics...

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