Question

According to Bohr model, magnetic field at centre (at the nucleus) of a hydrogen atom due to motion of electron in the ninth orbit is proportional to:

Options

• `1/"n"^3`

• `1/"n"^5`

• n⁵

• n³

Answer 1

`bb(1/"n"^5)`

Explanation:

B = `(mu_0"i")/(2"r")`; magnetic field at centre of hydrogen atom i.e. at nucleus.

i = `"e"/"T"` = ef = α `"z"^2/"n"^3`

r ∝ `"n"^2/"Z"`

B ∝ `"i"/"r"alpha"Z"^3/"n"^5`

B ∝ `1/"n"^5`