Question

A silver atom in a solid oscillates in S.H.M. in a certain direction with a frequency of `10^(12)s^(-1)`. What is the force constant of the bonds connecting one atom with the other ? Molecular weight of silver `=108` and Avogadaro number `=6.2xx10^(23) (gm mo l e)^(-1)`.

Answer 1

Mass of one silver atom, `m=(M)/(N)=(108)/(6.02xx10^(23))=1.794xx10^(-22)g=1.794xx10^(-25)kg`
Frequency of S.H.M. is , `v=(1)/(2pi)sqrt((K)/(m))`
`:.` Force constant, `K=4pi^(2)mv^(2)=4xx(3.14)^(2)xx(1.794xx10^(-25))(10^(12))^(2)`
`=7.1Nm^(-1)`