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Question

Electrons of energies 10.2eV colliding with a hydrogen atom cause radiation to be emitted from the latter. What is the wavelength of radiation in terms of Rydberg's constant R if the ground state energy of the atom is 13.6eV?

A
43R
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B
13R
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C
53R
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D
15R
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Solution

The correct option is A 43R
Ground state energy =13.6eV[z=1,n=1]
Energy of colliding electron =10.2 eV
New energy state =13.6eV+10.2eV
=3.4 eV
It is transferred to 2nd orbit, n=2
1λ=R×12×[112122]
λ=43R

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