Atoms And Nuclei Question 326

Question: The third line of the Balmer series spectrum of a hydrogen like ion of atomic number Z equals to 108.5 nm. Then Z is

Options:

A) 2

B) 5

C) 3

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

  • For the third line of Balmer series,
    n1=2,n2=5
    1λ=RZ2(1n121n22)=RZ2(122152)=21RZ2100
    E=13.6eV Z2×21100=hcλ=1242eVnm108.5nm
    Z2=1242×100108.5×21×13.6=4Z=2


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