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Byju's Answer

Standard XII

Physics

Hydrogen Spectra

The energy re...

Question

The energy required to excite an electron of an element having the atomic number $11$ from the first orbit to the second orbit is :

\frac{3}{4}

of its ionisation energy

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\frac{1}{2}

of its ionisation energy

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\frac{1}{4}

of its ionisation energy

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None

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Solution

The correct option is A $\frac{3}{4}$ of its ionisation energy
$E = \frac{E_{0}}{n^{2}} ∴ E_{2} - E_{1} = \frac{E_{0}}{4} - \frac{E_{0}}{1} = \frac{- 3 E_{0}}{4}$
Ionization energy $= E_{\infty} - E_{1} = \frac{E_{0}}{{(\infty)}^{2}} - \frac{E_{0}}{1} = - E_{0}$
Thus energy required to exists atom to $2^{n d}$ orbit is equal to $\frac{3}{4}$ of its ionization energy. Thus answer is option A.

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Similar questions

Q. The ionisation potential of a hydrogen atom is

13.6 v o l t

. The energy required to remove an electron from the second orbit of hydrogen is:

Q. The ionisation potential of hydrogen atom is

13.6 volt

. The energy required to remove an electron from the second orbit of hydrogen is :

The ionisation energy is calculated for the energy required to liberate the most loosely bound electron from the outermost shell of an atom when its element is in its ______ state.

DEFINITION VALID FOR SINGLE ELECTRON SYSTEM:
Ground state: Lowest energy state of any atom or ion is called ground state of the atom. It is n

=

1.
Excited energy (IE): Minimum energy required to move an electron from ground state to n

= \infty

is called ionisation energy of the atom or ion.
Ionisation Potential (I.P): Potential difference through which a free electron must be accelerated from rest, such that its kinetic energy becomes equal to ionisation energy of the atom is called ionisation potential of the atom.
Excitation Energy: Energy required to move an electron from ground state of the atom to any other state of the atom is called excitation energy of that state.
Excitation Potential: Potential difference through which an electron must be accelerated from rest to so that its kinetic energy become equal to excitation energy of any state is called excitation potential of that state.
Binding Energy 'or' Separation Energy: Energy required to move an electron from any state to n=

\infty

is called binding energy of the state.
The wavelength of the photon emitted upon an electronic transition from

n_{2}

n_{1}

orbit in a H-like species is given by the formula:

\frac{1}{λ} = R Z^{2} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})

Now answer the following question:

If the binding energy of II excited state of a H-like species is 13.6 eV then:

Q. If the ionisation energy for H atom is

13.6 e V

, calculate the required energy in eV to excite it from the ground state to the first excited state.

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The energy required to excite an electron of an element having the atomic number 11 from the first orbit to the second orbit is :

The correct option is A 34 of its ionisation energyE=E0n2∴E2−E1=E04−E01=−3E04Ionization energy=E∞−E1=E0(∞)2−E01=−E0Thus energy required to exists atom to 2nd orbit is equal to 34 of its ionization energy. Thus answer is option A.

The energy required to excite an electron of an element having the atomic number $11$ from the first orbit to the second orbit is :