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Distribution of Electrons in Different Orbits

An energy of ...

Question

An energy of 40.8 eV is required to excite a Hydrogen-like species from $1^{s t}$ Bohr orbit to second. Which is/are correct statement(s) :

A

Atomic number of H-like species is 2.

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B

Ionisation energy of H-like species is 122.4 eV.

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C

K i n e t i c e n e r g y o f e l e c t r o n i n 1^{s t} o r b i t i s 54.4 e V .

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D

Energy of second orbit is -13.6 eV.

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Solution

The correct options are
A Atomic number of H-like species is 2.
C $K i n e t i c e n e r g y o f e l e c t r o n i n 1^{s t} o r b i t i s 54.4 e V .$
D Energy of second orbit is -13.6 eV.

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Similar questions

Q. If the binding energy of

2^{n d}

excited state of a hydrogen-like sample is 24 eV approximately, then the atomic number Z of the H-like species is:

Q. An energy of 68 eV is required to excite a hydrogen-like atom from its second Bohr orbit to the third. The nuclear charge is Ze. The value of Z is:

Q. Supposing the ionisation energy of hydrogen like species is 960 eV. Find out the value of principal quantum number having the energy equal to - 60 eV.

A single electron orbits around a stationary nucleus of charge +Ze where Z is atomic number and 'e' is the magnitude of the electric charge. The hydrogen like species required 47.2eV to excite the electron from the second Bohr orbit to the third Bohr orbit. Find

(i) the value of Z and give the hydrogen like species formed.

(ii) the kinetic energy and potential energy of the electron in the first Bohr orbit.

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