act22ans - Do NOT write on these sheets or take them with...

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Unformatted text preview: Do NOT write on these sheets or take them with you! The next class needs them too! PHYS-1200 PHYSICS II SPRING 2005 Class 22 Activity: Matter Waves SOLUTION The sketch shows a beam of electrons that travels in the x direction, and passes through a narrow slit of width a = 10 nm. The electrons have a wavelength of = 1.5 nm. After passing through the slit the electrons spread out and strike a screen a distance D = 20 cm from the slit. 1. Find v x , the velocity of the electrons before they pass through the slit. mv h = , so m) 10 5 . 1 kg)( 10 (9.11 s J 10 63 . 6 9 31- 34-- = = m h v v = 4.85 10 5 m/s 2. The electrons were accelerated from rest, through a potential difference of V , to reach the velocity calculated in question 1. Find V , the accelerating potential. 2 2 1 mv eV = , so C) 10 6 . 1 ( 2 m/s) 10 85 . 4 )( kg 10 9.11 ( 2 19 2 5-31 2- = = e mv V V = 0.67 V 3. Consider the electrons to be waves, of wavelength = 1.5 nm, that are diffracted as they pass = 1....
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act22ans - Do NOT write on these sheets or take them with...

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