In a HC1 molecule, we may treat C1 to be of infinite mass and H along oscillating. If the oscillations of HC1 molecule shows frequency `8xx10^(13)s^(-1)`, deduce the force constant. Avogadro's number `=6xx10^(26)` per kg mol.

Explanation

Here,`v=8xx10^(13)s^(-1).`
Mass f H-atom, `m=(M)/(N)=(1)/(6xx10^(26))kg`
As `v=(1)/(2pi)sqrt((k)/(m)) or v^(2)=(k)/(4pi^(2)m)`
or `k=4pi^(2)v^(2)m`
`=4xx((22)/(7))^(2)xx(8xx10^(13))^(2)xx(1)/((6xx10^(26)))`
`=421.4Nm^(-1)`