According to Bohr's Theory
`E_(n)=`total energy, `K_(n)` = kinetic energy, `V_(n)`= potential energy, `r_(n) =` radius of nth orbit
Match that following:

Options

A. `A-p, B-q, C-r, D-s`
B. `A-r, B-q, C-p, D-s`
C. `A-q, B-p, C-s, D-r`
D. `A-s, B-r, C-q, D-p`

Answer

B

Explanation

A. 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)`
`(V_(n))/(K_(n)) = (-Ze^(2)//r)/(Ze^(2)//2r) = -2`
B. `r_(n) prop n^(2) and E_(n) prop (1)/(n^(2)) " i.e., " E_(n) prop (1)/(r_(n)) or r_(n) prop (1)/(E_(n))`
or `r_(n) prop E_(n)^(-1) " i.e., " 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)) prop Z :. y = 1`