Solveeit Logo

Question

Question: An ionic atom equivalent to hydrogen atom has wavelength equal to 1/4 of the wavelengths of hydrogen...

An ionic atom equivalent to hydrogen atom has wavelength equal to 1/4 of the wavelengths of hydrogen lines. The ion will be.

A

He+He^{+}

B

Li++Li^{+ +}

C

Ne9+Ne^{9 +}

D

Na10+Na^{10 +}

Answer

He+He^{+}

Explanation

Solution

νˉ1λZ2λZ2=\bar{\nu} \propto \frac{1}{\lambda} \propto Z^{2} \Rightarrow \lambda Z^{2} =constant

λ=λ4Z2Z=2\Rightarrow \lambda = \frac{\lambda}{4}Z^{2} \Rightarrow Z = 2.