The ratio of the differrence between the first and second Bohr orbit energies to that between second and third Bohr orbit energies is

Options

A. `(1)/(2)`
B. `(1)/(3)`
C. `(27)/(3)`
D. `(5)/(27)`

Explanation

`Delta E = - 2.18 xx 10^(-18)((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) J" atom" ^(-1)`
`Delta E_(2 rarr 1) = - 2.18 xx 10^(-18)((1)/(1^(2)) - (1)/(2^(2)))`
` = - 2.18 xx 10^(-18)((3)/(4))`
`Delta E _(3 rarr 2)` = - 2.18 xx 10^(-18) ((5)/(36))`
`:. (Delta E_(2-1))/(Delta E_(1-2)) = (3)/(4) xx (36)/(5) = (27)/(5) :. (c )`