English
Karnataka Board PUCPUC Science Class 11

Calculate the radius of Bohr’s fifth orbit for hydrogen atom

Advertisements
Advertisements

Question

Calculate the radius of Bohr’s fifth orbit for hydrogen atom

Numerical
Advertisements

Solution

Radius of Bohr’s nth orbit for hydrogen atom is given by,

rn = (0.0529 nm) n2

For, n = 5

r5 = (0.0529 nm) (5)2

r5 = 1.3225 nm

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Structure of Atom - EXERCISES [Page 70]

APPEARS IN

NCERT Chemistry Part 1 and 2 [English] Class 11
Chapter 2 Structure of Atom
EXERCISES | Q 2.16 - (ii) | Page 70

RELATED QUESTIONS

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.


Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.


The gravitational attraction between electron and proton in a hydrogen atom is weaker than the Coulomb attraction by a factor of about 10−40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.


Using Bohr's postulates, derive the expression for the orbital period of the electron moving in the nth orbit of hydrogen atom ?


Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?


According to Maxwell's theory of electrodynamics, an electron going in a circle should emit radiation of frequency equal to its frequency of revolution. What should be the wavelength of the radiation emitted by a hydrogen atom in ground state if this rule is followed?


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?


According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?


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


Derive an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n – 1). Also show that for large values of n, this frequency equals to classical frequency of revolution of an electron.


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


The mass of a H-atom is less than the sum of the masses of a proton and electron. Why is this?


The number of times larger the spacing between the energy levels with n = 3 and n = 8 spacing between the energy level with n = 8 and n = 9 for the hydrogen atom is ______.


If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n = 2 is ______.


Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is ______.


Write the ionisation energy value for the hydrogen atom.


On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of hydrogen atom.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×