The vibration frequencies of atoms in solids at normal temperatures are of the o
ID: 306453 • Letter: T
Question
The vibration frequencies of atoms in solids at normal temperatures are of the order of 1013 Hz. Imagine the atoms to be connected to one another by springs. Suppose that a single silver atom in a solid vibrates with a frequency of 2.0 x 1013 Hz and that all the other atoms are at rest. Compute the effective spring constant. One mole of silver (6.02 x 1023 atoms) has a mass of 108 g. Number Enter your answer in accordance to the question statementEntry field with incorrect answer 2.83E2 Units Choose the answer from the menu in accordance to the question statementEntry field with correct answer
Explanation / Answer
f = (1 / 2pi) sqrt(k/m)
for m = mass of 1 atom
m = (108 x 10^-3 kg) / (6.022 x 10^23)
m = 1.793 x 10^-25 kg
putting values,
(2pi x 2 x 10^13)^2 = (k / (1.793 x 10^-25))
k = 2832 N/m Or 2.83E3 N/m
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