If the radius of the second Bohr of hydrogen atom is `r_(2)` the radius of the third Bohr orbit will be

Options

A. `4/9r_(2)`
B. `4r_(2)`
C. `9/4r_(2)`
D. `9r_(2)`

Answer

C

Explanation

`r=(n^(2)h^(2))/(4pi^(2)mZe^(2))`
`:.(r_(2))/(r_(3))=(2^(2))/(3^(2))`
`:.r_(3)=9/4r_(2)`
Hence c is the correct answer.