हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

In Which of the Following Systems Will the Wavelength Corresponding to N = 2 to N = 1 Be Minimum?

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • Hydrogen atom

  •  Deuterium atom

  • Singly ionized helium

  • Doubly ionized lithium

MCQ
Advertisements

उत्तर

 Doubly ionized lithium

The wavelength corresponding the transition from n2 to n1 is given by

`1/lamda =RZ^2 (1/n_1^2 - 1/n_2^2)`]

Here,
R = Rydberg constant
Z = Atomic number of the ion

From the given formula, it can be observed that the wavelength is inversely proportional to the square of the atomic number.
Therefore, the wavelength corresponding to n = 2 to n = 1 will be minimum in doubly ionized lithium ion because for lithium, Z = 3.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 43: Bohr’s Model and Physics of Atom - MCQ [पृष्ठ ३८३]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 43 Bohr’s Model and Physics of Atom
MCQ | Q 6 | पृष्ठ ३८३

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.


Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.


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

n = 4, `m_s =  -1/2`


Using Bohr’s postulates for hydrogen atom, show that the total energy (E) of the electron in the stationary states tan be expressed as the sum of kinetic energy (K) and potential energy (U), where K = −2U. Hence deduce the expression for the total energy in the nth energy level of hydrogen atom.


Write the expression for Bohr’s radius in hydrogen atom ?


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.


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


The Bohr radius is given by  `a_0 = (∈_0h^2)/{pime^2}`. Verify that the RHS has dimensions of length.


Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.


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.


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


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?


The energy of an electron in an excited hydrogen atom is - 3.4 eV. Calculate the angular momentum of the electron according to Bohr's theory. (h = 6.626 × 10-34 Js)


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?


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


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:


A hydrogen atom in its first excited state absorbs a photon of energy x × 10-2 eV and exited to a higher energy state where the potential energy of electron is -1.08 eV. The value of x 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 ______. 


Which from following is CORREСТ relationship between wavelength and momentum of electron?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×