TEST1_ENSC3313_SP2007_KEY

# TEST1_ENSC3313_SP2007_KEY - ENSC 3313 Spring 2007 TEST 1...

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1 ENSC 3313, Spring 2007 TEST 1 - KEY Name_________________________ Answer all 10 questions, show all work, 2points each 1. Cu K α x-rays are used in many diffraction experiments for crystal structure determination. If these x-rays have a wavelength of λ = 1.54 o A , estimate the energy (in eV) of these x-rays. Note: Note: speed of light c=3 × 10 8 m/s, Planck's constant h=6.626 × 10 -34 J s, 1 eV = 1.6 × 10 -19 J The energy of a photon is: ν h E = , and the frequency is: c = For Cu K α x-rays keV E 67 . 80 10 6 . 1 1 10 54 . 1 10 3 10 626 . 6 19 10 8 33 = × × × × = 2. X-ray radiography may be used to inspect critical engineering components for flaws such as internal cracks. Can x-rays be used to inspect a ½" thick steel plate assuming that we only need 1% of the x-rays to make it through the plate to develop the image? Note: The fraction of x-rays that make it through a ¼" piece of steel is 6.5%. Exponential decay formula () xC o e I I = First solve for C (the absorption coefficient) 1 09 . 11 ) 065 . 0 ln( 25 . 0

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TEST1_ENSC3313_SP2007_KEY - ENSC 3313 Spring 2007 TEST 1...

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