Given, molecular weight of silver (M)=108g and Avogadro's number(NA)=6.02×1023,
frequency (f)=1012s.
Mass of single silver atom will be given by,
m=NM=6.02×1023108=1.79×10−22g=1.79×10−25kg
The bonds between the atoms can be considered as spring and then using the spring analog, the time period of the oscillation of the atoms is given by,
T=f1=2πkm; where k is spring constant.
10121=2πk(1.79×10−22)×10−3
k=7.1Nm−1.