Match the following columns

Answer

A

Explanation

According to Bohr.s theory
Kinetic energy `(K_(n))=(Ze^(2))/(2r)`
Potential energy `(V_(n))=-(Ze^(2))/r`
Total energy `(E_(n))=-(Ze^(2))/(2r)`
(A)`(V_(n))/(K_(n))=-(Ze^(2)//r)/(Ze^(2)//2r)=-2`
(B) `r_(n)prop n^(2)` and `E_(n)prop 1/(n^(2)0` i.e. `E_(n)prop 1/(r_(n))`
`r_(n)prop 1/(E_(n))` or `r_(n)prop E_(n)^(-1)`
`:.x=-1`
(C) Angular momentum `=sqrt(l(l=1))h/(2pi)`
The lowest orbital is 1s for which l=0. Hence angular momentum =0
(D) `r_(n)prop 1/Z` or `1/(r_(n))propZ`