Singly charged sodium atoms are accelerated through a potential difference of 342 V. (a) What is the momentum acquired by such an ion? (b) What is its de Broglie wavelength? The mass of a sodium ion is 3.819 × 10-26 kg.
(A) kinetic energy = qV
0.5mv^2 = qV
0.5*3.819*10^-26*v^2 = 1.6*10^-19*342
v = 5.35*10^4 m/s
momentum = mv = 3.819*10^-26*5.35*10^4
= 2*10^-21 kg m/s
(b) E = hc /
1.6*10^-19*342 = 6.626*10^-34*3*10^8 /
= 3.63 *10^-9 m
= 3.63 nm
Singly charged sodium atoms are accelerated through a potential difference of 342 V. (a) What is...
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