In a hydrogen atom following the Bohr's postulates the product of linear momentum and angular momentum is proportional to `n^(x)` where 'n' is the orbit number. Then 'x' is:

Options

A. 1
B. `-2`
C. 2
D. 0

Answer

D

Explanation

For the electron in the hydrogen atom, angular momentum
`mvr = (nh)/(2pi) i.e. mvr prop n`
and linear momentum `=mv = (me^2)/(2epsi_0nh) i.e. mv prop 1/n`
`therefore mvr xx mv prop n xx 1/n`
`therefore` Linear momentum x Angular momentum `prop 1 " or " n^@`.