Atoms And Nuclei Question 63

Question: The third line of Balmer series of an ion equivalent to hydrogen atom has wavelength of 108.5 nm. The ground state energy of an electron of this ion will be [RPET 1997]

Options:

A) 3.4 eV

B) 13.6 eV

C) 54.4 eV

D) 122.4 eV

Show Answer

Answer:

Correct Answer: C

Solution:

For third line of Balmer series n1=2 , n2=5 \ 1λ=RZ2[1n121n22]

gives Z2=n12n22(n22n12)λR

On putting values Z = 2

From E=13.6Z2n2=13.6(2)2(1)2=54.4,eV



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