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The nitrogen-atom (N) has a nuclear charge of +7e. In the neutral N-atom the nuc

ID: 1613163 • Letter: T

Question

The nitrogen-atom (N) has a nuclear charge of +7e. In the neutral N-atom the nuclear charge is balanced by the presence of 7 electrons. N6+ ion is a nitrogen-atom that has lost six of its electrons.

Energy in eV of an elecron in the ground state of N6+ ion= -666.4 eV

A) What is the wavelength of the emitted radiation when the N6+ ion makes a transition from n=3 to n=1 state?

B) What is the wavelength of the radiation incident on ground state N6+ ions which produces photoelectrons with a kinetic energy of 333.6 eV? (Hint: Drawing a rudimentary energy level diagram would help)

Explanation / Answer

A )

the equation is using here is

E = - 13.6 z2 / n2

= -13.6 X 72 / 12

E = - 666.4 eV

B )

E1 = - 666.4 ,

E2 = - 74.04 eV

E = E2 - E1

= - 74.04 + 666.4

E = 592.36 eV

= h c / E

= 20.97 angstroms

C )

E = + KE

E = 666.4 + 333.6

E = 1000 eV

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