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The Light Emitted in the Transition N = 3 to N = 2 in Hydrogen is Called Hα Light. Find the Maximum Work Function a Metal - Physics

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प्रश्न

The light emitted in the transition n = 3 to n = 2 in hydrogen is called Hα light. Find the maximum work function a metal can have so that Hα light can emit photoelectrons from it.

बेरीज

उत्तर

The Hα light can emit the photoelectrons if its energy is greater than or equal to the work function of the metal.

Energy possessed by Hα light (E) is given by

`E = 13.6 (1/n_1^2 - 1/n_2^2)eV`

`Here , n_1 = 2 , n_2 = 3`

`therefore E = 13.6 xx (1/4 - 1/4 )`
                 = `(13.6xx5)/36 = 1.89  eV`
                 = 1.90 eV

 Hα light will be able to emit electron from the metal surface for the maximum work function of metal to be 1.90 eV.

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पाठ 21: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८५]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 21 Bohr’s Model and Physics of Atom
Exercises | Q 38 | पृष्ठ ३८५

संबंधित प्रश्‍न

State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.


Using Bohr’s postulates, obtain the expression for total energy of the electron in the nth orbit of hydrogen atom.


When a photon stimulates the emission of another photon, the two photons have
(a) same energy
(b) same direction
(c) same phase
(d) same wavelength


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?


When a photon is emitted by a hydrogen atom, the photon carries a momentum with it. (a) Calculate the momentum carries by the photon when a hydrogen atom emits light of wavelength 656.3 nm. (b) With what speed does the atom recoil during this transition? Take the mass of the hydrogen atom = 1.67 × 10−27 kg. (c) Find the kinetic energy of recoil of the atom.


What is the energy in joules released when an electron moves from n = 2 to n = 1 level in a hydrogen atom?


Using Bohr's postulates derive the expression for the radius of nth orbit of the electron.


Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant. How does this affect the energy of an electron in the orbitals of the same principal quantum number in multielectron atoms?


Why was a change in the Bohr Model of atom required? Due to which important development (s), concept of movement of an electron in an orbit was replaced by, the concept of probability of finding electron in an orbital? What is the name given to the changed model of atom?


According to the Bohr theory of H-atom, the speed of the electron, its energy and the radius of its orbit varies with the principal quantum number n, respectively, as:


The energy of an electron in hth orbit of hydrogen atom is –13.6/n2ev energy required to excite the electron from the first orbit to the third orbit is


A set of atoms in an excited state decays ______.


An ionised H-molecule consists of an electron and two protons. The protons are separated by a small distance of the order of angstrom. In the ground state ______.

  1. the electron would not move in circular orbits.
  2. the energy would be (2)4 times that of a H-atom.
  3. the electrons, orbit would go around the protons.
  4. the molecule will soon decay in a proton and a H-atom.

Given below are two statements:

Statements I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.

Statement II: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increase with a decrease in principal quantum number.
In light of the above statements, choose the most appropriate answer from the options given below:


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


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


State three postulates of Bohr's theory of hydrogen atom.


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 ______.


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