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Light from Balmer Series of Hydrogen is Able to Eject Photoelectrons from a Metal. What Can Be the Maximum Work Function of the Metal?

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प्रश्न

Light from Balmer series of hydrogen is able to eject photoelectrons from a metal. What can be the maximum work function of the metal?

योग
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उत्तर

Let the maximum work function of the metal be W.

The energy liberated in the Balmer Series (E) is given by 

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

For maximum work function, maximum energy of Balmer's series is taken.

Now, n1 = 2, n1 = ∞​

`therefore E = 13.6(1/2^2)`

=` 13.6 xx 1/4 =3.4  eV`

Here,

W = E

Thus, maximum work function of metal is 3.4 eV.

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अध्याय 43: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८५]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 43 Bohr’s Model and Physics of Atom
Exercises | Q 39 | पृष्ठ ३८५

संबंधित प्रश्न

Explain, giving reasons, which of the following sets of quantum numbers are not possible.

  1. n = 0, l = 0, ml = 0, ms = + ½
  2. n = 1, l = 0, ml = 0, ms = – ½
  3. n = 1, l = 1, ml = 0, ms = + ½
  4. n = 2, l = 1, ml = 0, ms = – ½
  5. n = 3, l = 3, ml = –3, ms = + ½
  6. n = 3, l = 1, ml = 0, ms = + ½

How many electrons in an atom may have the following quantum numbers?

n = 3, l = 0


  1. Using the Bohr’s model, calculate the speed of the electron in a hydrogen atom in the n = 1, 2 and 3 levels.
  2. Calculate the orbital period in each of these levels.

In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:

a) `r_0/9`

b) `r_0`

c) `3r_0`

d) `9r_0`


if `E_p` and `E_k` represent potential energy and kinetic energy respectively, of an orbital electron, then, according to B9hr's theory:

a)`E_k = -E_p"/"2`

b) `E_k = -E_p`

c) `E_k = -2E_p`

d) `E_k = 2E_p`

 


Using Bohr's postulates, derive the expression for the total energy of the electron in the stationary states of the hydrogen atom ?


Using Bohr’s postulates, obtain the expression for the total energy of the electron in the stationary states of the hydrogen atom. Hence draw the energy level diagram showing how the line spectra corresponding to Balmer series occur due to transition between energy levels.


Using Bohr’s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number ni) to the lower state, (nf).

When electron in hydrogen atom jumps from energy state ni = 4 to nf = 3, 2, 1, identify the spectral series to which the emission lines belong.


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.


Consider a neutron and an electron bound to each other due to gravitational force. Assuming Bohr's quantization rule for angular momentum to be valid in this case, derive an expression for the energy of the neutron-electron system.


Answer the following question.
Calculate the orbital period of the electron in the first excited state of the hydrogen atom.


When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, show how the de Broglie wavelength associated with it would be affected.


Use Bohr’s model of hydrogen atom to obtain the relationship between the angular momentum and the magnetic moment of the revolving electron.


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


For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?


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


For the ground state, the electron in the H-atom has an angular momentum = h, according to the simple Bohr model. Angular momentum is a vector and hence there will be infinitely many orbits with the vector pointing in all possible directions. In actuality, this is not true ______.


The Bohr model for the spectra of a H-atom ______.

  1. will not be applicable to hydrogen in the molecular from.
  2. will not be applicable as it is for a He-atom.
  3. is valid only at room temperature.
  4. predicts continuous as well as discrete spectral lines.

Use Bohr's postulate to prove that the radius of nth orbit in a hydrogen atom is proportional to n2.


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