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

State Bohr’s third postulate for hydrogen (H2) atom. Derive Bohr’s formula for the wave number. Obtain expressions for longest and shortest wavelength of spectral lines in ultraviolet region for hydrogen atom


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?


Radiation coming from transition n = 2 to n = 1 of hydrogen atoms falls on helium ions in n = 1 and n = 2 states. What are the possible transitions of helium ions as they absorbs energy from the radiation?


A parallel beam of light of wavelength 100 nm passes through a sample of atomic hydrogen gas in ground state. (a) Assume that when a photon supplies some of its energy to a hydrogen atom, the rest of the energy appears as another photon. Neglecting the light emitted by the excited hydrogen atoms in the direction of the incident beam, what wavelengths may be observed in the transmitted beam? (b) A radiation detector is placed near the gas to detect radiation coming perpendicular to the incident beam. Find the wavelengths of radiation that may be detected by the detector.


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


Write postulates of Bohr’s Theory of hydrogen atom.


Mention demerits of Bohr’s Atomic model.


The spectral line obtained when an electron jumps from n = 5 to n = 2 level in hydrogen atom belongs to the ____________ series.


The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10–11m. The radius of the n = 3 orbit is ______.


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:


Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its (i) second permitted energy level to the first level. and (ii) the highest permitted energy level to the first permitted level.


The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths, λ1/λ2, of the photons emitted in this process is ______. 


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 line at 434 nm in the Balmer series of the hydrogen spectrum corresponds to a transition of an electron from the nth to second Bohr orbit. The value of n is ______.


Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength λ. If R is the Rydberg constant then the principal quantum number n of the excited state is ______.


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 ______.


What is the velocity of an electron in the 3rd orbit of hydrogen atom if its velocity in the 1st orbit is v0?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×