English
Karnataka Board PUCPUC Science Class 11

Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.

Advertisements
Advertisements

Question

Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.

Long Answer
Advertisements

Solution

We have `bar(v) = 109766 [1/n_i^2 - 1/n_f^2]`

Given, ni = 3 and nf =2

ΔE = `hcbar(v) = 109677 [1/n_i^2 - 1/n_f^2]`

ΔE = `- 3.052 xx 10^-19` J

v = `(ΔE)/h -= 4.606 xx 10^16` Hz

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Structure of Atom - Multiple Choice Questions (Type - I) [Page 23]

APPEARS IN

NCERT Exemplar Chemistry Exemplar [English] Class 11
Chapter 2 Structure of Atom
Multiple Choice Questions (Type - I) | Q 54 | Page 23

RELATED QUESTIONS

If the photon of the wavelength 150 pm strikes an atom and one of its inner bound electrons is ejected out with a velocity of 1.5 × 107 ms–1, calculate the energy with which it is bound to the nucleus.


If the velocity of the electron in Bohr’s first orbit is 2.19 × 106 ms-1, calculate the de Broglie wavelength associated with it.


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`


Suppose, the electron in a hydrogen atom makes transition from n = 3 to n = 2 in 10−8 s. The order of the torque acting on the electron in this period, using the relation between torque and angular momentum as discussed in the chapter on rotational mechanics is


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.


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


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


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


The energy associated with the first orbit of He+ is ____________ J.


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


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


Ratio of longest to shortest wavelength in Balmer series is ______.


On the basis of Bohr's model, the approximate radius of Li++ ion in its ground state ifthe Bohr radius is a0 = 53 pm : 


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.

Taking the Bohr radius as a0 = 53 pm, the radius of Li++ ion in its ground state, on the basis of Bohr’s model, will be about ______.


In Bohr's atomic model of hydrogen, let K. P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:


The radius of the nth orbit in the Bohr model of hydrogen is proportional to ______.


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 radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is ______.


Calculate the shortest wavenumber in hydrogen spectrum of Lyman series. (RH = 109677 cm−1)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×