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

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प्रश्न

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

संख्यात्मक
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उत्तर

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

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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 - (ii) | पृष्ठ ७०

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.


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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.


In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg)


A beam of monochromatic light of wavelength λ ejects photoelectrons from a cesium surface (Φ = 1.9 eV). These photoelectrons are made to collide with hydrogen atoms in ground state. Find the maximum value of λ for which (a) hydrogen atoms may be ionized, (b) hydrogen atoms may get excited from the ground state to the first excited state and (c) the excited hydrogen atoms may emit visible light.


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


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(h = 6.6 × 10−34 J s)


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.


Why was a change in the Bohr Model of atom required? Due to which important development (s), concept of movement of an electron in an orbit was replaced by, the concept of probability of finding electron in an orbital? What is the name given to the changed model of 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.


The wavelength of the first time line of Ballmer series is 6563 A°. The Rydberg constant for hydrogen is about:-


The energy of an electron in the first Bohr orbit of the H-atom is −13.6 eV. The energy value of an electron in the excited state of Li2+ is ______.


What is the energy associated with first orbit of Li2+ (RH = 2.18 × 10-18)?


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What is meant by ionisation energy?


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


Which conversion relates an electron volt to joules?


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