मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate Ionisation Energy for this Atom, If the Ground State Energy is -13.6 Ev - Physics

Advertisements
Advertisements

प्रश्न

An electron is orbiting in 5th Bohr orbit. Calculate ionisation energy for this atom, if the ground state energy is -13.6 eV.

Advertisements

उत्तर

Ground state energy E1 = −13.6 eV

E5 = ?

Energy of electron in Bohr’s orbit is inversely proportional to the square of the principal quantum number.

`therefore"E"_5/"E"_1="n"_1^2/"n"_5^2`

`therefore"E"_5/"E"_1=1^2/5^2`

`therefore"E"_5=(-13.6)/25=-0.544"eV"`

The ionization energy = E - E5 = 0 − (−0.544) = 0.544 eV

Hence, the ionization energy in the 5th orbit is 0.544 eV.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2014-2015 (March)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

(i) State Bohr's quantization condition for defining stationary orbits. How does the de Broglie hypothesis explain the stationary orbits?

(ii) Find the relation between three wavelengths λ1, λ2 and λ3 from the energy-level diagram shown below.


What is the maximum number of emission lines when the excited electron of an H atom in n = 6 drops to the ground state?


What is the energy in joules, required to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state? The ground state electron energy is –2.18 × 10–11 ergs.


The difference in the frequencies of series limit of Lyman series and Balmer series is equal to the frequency of the first line of the Lyman series. Explain.


The numerical value of ionization energy in eV equals the ionization potential in volts. Does the equality hold if these quantities are measured in some other units?


A positive ion having just one electron ejects it if a photon of wavelength 228 Å or less is absorbed by it. Identify the ion.


A beam of  light having wavelengths distributed uniformly between 450 nm to 550 nm passes through a sample of hydrogen gas. Which wavelength will have the least intensity in the transmitted beam?


State any two Bohr’s postulates and write the energy value of the ground state of the hydrogen atom. 


Obtain Bohr’s quantisation condition for angular momentum of electron orbiting in nth orbit in hydrogen  atom on the basis of the wave picture of an electron using de Broglie hypothesis. 


In which of the following systems will the wavelength corresponding to n = 2 to n = 1 be minimum?


How are various lines of Lyman series formed? Explain on the basis of Bohr’s theory.


A particle has a mass of 0.002 kg and uncertainty in its velocity is 9.2 × 10−6 m/s, then uncertainty in position is ≥ ____________.

(h = 6.6 × 10−34 J s)


According to Bohr’s theory, the angular momentum of an electron in 5th orbit is ______.


Which of these statements correctly describe the atomic model according to classical electromagnetic theory?


When an electric discharge is passed through hydrogen gas, the hydrogen molecules dissociate to produce excited hydrogen atoms. These excited atoms emit electromagnetic radiation of discrete frequencies which can be given by the general formula

`bar(v) = 109677 1/n_1^2 - 1/n_f^2`

What points of Bohr’s model of an atom can be used to arrive at this formula? Based on these points derive the above formula giving description of each step and each term.


Derive an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n – 1). Also show that for large values of n, this frequency equals to classical frequency of revolution of an electron.


The wavelength of the first time line of Ballmer series is 6563 A°. The Rydberg constant for hydrogen is about:-


The simple Bohr model cannot be directly applied to calculate the energy levels of an atom with many electrons. This is because ______.


A set of atoms in an excited state decays ______.


State Bohr's postulate to explain stable orbits in a hydrogen atom. Prove that the speed with which the electron revolves in nth orbit is proportional to `(1/"n")`.


The number of times larger the spacing between the energy levels with n = 3 and n = 8 spacing between the energy level with n = 8 and n = 9 for the hydrogen atom is ______.


According to Bohr atom model, in which of the following transitions will the frequency be maximum?


The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is ______. 


Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to:


The first ionization energy of H is 21.79 × 10-19 J. The second ionization energy of He atom is ______ × 10-19J.


In hydrogen atom, transition from the state n = 6 to n = 1 results in ultraviolet radiation. Infrared radiation will be obtained in the transition ______.


What is the energy of an electron in stationary state corresponding to n = 2?


The wavelength of the second line of the Balmer series in the hydrogen spectrum is 4861 Å. Calculate the wavelength of the first line of the same series.


The energy of an electron in the nth orbit of the hydrogen atom is En = -13.6/n2eV. The negative sign of energy indicates that ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×