1.

Dia-atomic molecule is composed of masses m_(1) and m_(2) and distance between them is r. By using the principle of quantisation of angular momentem of Bohr its energy of rotation is given by the formula ....... [Where n is integer and h=(h)/(2pi) ]

Answer»

`(n^(2)h^(2))/(2(m_(1)+m_(2))R^(2))`
`(2n^(2)h^(2))/((m_(1)+m_(2))r^(2))`
`((m_(1)+m_(2))n^(2)h^(2))/(2m_(1)m_(2)r^(2))`
`((m_(1)+m_(2))^(2)n^(2)h^(2))/(2m_(1)m_(2)r^(2))`

Solution :
Reduced mass of this system `m=(m_(1)m_(2))/((m_(1)+m_(2)))`
`:.` Moment of inertia
`I=mr^(2)`
`=(m_(1)m_(2))/((m+m_(2)))r^(2)"".......(1)`
`:.` Angular momentum in `n^(th)` orbit in Bohr model `L=(nh)/(2pi)=nh""......(2)`
`:.` ROTATIONAL energy `E=(L^(2))/(2I)`
`:.E(n^(2)h^(2)(m_(1)+m_(2)))/(2m_(1)m_(2)r^(2))`


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