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A single electron orbits around a stationary nucleus of charge +Ze where Z is atomic no. and e is the magnitude of the electric charge. The hydrogen like species required 47.2 eV to excite the electron from the second bohr orbit to the third bohr orbit. Find the value of Z.


A single electron orbits around a stationary nucleus of charge +Ze where Z is atomic no. and e is the magnitude of the electric charge. The hydrogen like species required 47.2 eV to excite the electron from the second bohr orbit to the third bohr orbit. Find the value of Z.


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2 Answers

vikas askiitian expert
509 Points
13 years ago

E = 13.6[1/n12-1/n22]Z2

this is the energy required to exite a electron from lower orbit to higher

when electron jumps from n = 2 to n = 3 then

E = 13.6[1/4-1/9]Z2

 

E = 47.2            (given) so

47.2 = 13.6[1/4-1/9]Z2

Z2 = 25

Z = 5

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

Use

E=-13.6Z2/n2=-47.2

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