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The energy associated with the first orbit in the hydrogen atom is - 2.18 × 10-18 J atom-1. What is the energy associated with the fifth orbit?

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प्रश्न

The energy associated with the first orbit in the hydrogen atom is - 2.18 × 10-18 J atom-1. What is the energy associated with the fifth orbit?

संख्यात्मक
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उत्तर

Energy associated with the fifth orbit of hydrogen atom is calculated as:

`"E"_5 = (-(2.18xx10^(-18)))/(5)^2 = (-2.18xx 10^(-18))/25`

E5 = - 8.72 × 10-20 J

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अध्याय 2: Structure of Atom - EXERCISES [पृष्ठ ७०]

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एनसीईआरटी Chemistry - Part 1 and 2 [English] Class 11
अध्याय 2 Structure of Atom
EXERCISES | Q 2.16 - (i) | पृष्ठ ७०

संबंधित प्रश्न

Obtain an expression for the radius of Bohr orbit for H-atom.


(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.


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


Calculate the energy required for the process 

\[\ce{He^+_{(g)} -> He^{2+}_{(g)} + e^-}\]

The ionization energy for the H atom in the ground state is 2.18 ×10–18 J atom–1


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.


State Bohr's postulate to define stable orbits in the hydrogen atom. How does de Broglie's hypothesis explain the stability of these orbits?


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.


Suppose in an imaginary world the angular momentum is quantized to be even integral multiples of h/2π. What is the longest possible wavelength emitted by hydrogen atoms in visible range in such a world according to Bohr's model?


State any two Bohr’s postulates and write the energy value of the ground state of the hydrogen atom. 


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


The radius of the third Bohr orbit for hydrogen atom is ____________.


When an electric discharge is passed through hydrogen gas, the hydrogen molecules dissociate to produce excited hydrogen atoms. These excited atoms emit electromagnetic radiation of discrete frequencies which can be given by the general formula

`bar(v) = 109677 1/n_1^2 - 1/n_f^2`

What points of Bohr’s model of an atom can be used to arrive at this formula? Based on these points derive the above formula giving description of each step and each term.


Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but same orbital angular momentum according to the Bohr model? Justify your answer.


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 ______.


State Bohr's postulate to explain stable orbits in a hydrogen atom. Prove that the speed with which the electron revolves in nth orbit is proportional to `(1/"n")`.


What is meant by ionisation energy?


State three postulates of Bohr's theory of hydrogen atom.


Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.


State the Bohr's postulate of angular momentum of an electron.


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