EASY
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The radius of the Bohr orbit depends on which of the following?

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Important Questions on Bohr Model, X-ray Spectra, Wave-Particle Duality

MEDIUM
A particle of mass m moves in a circular orbit in a central potential field Ur=12kr2. If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number n as:
EASY

The period of revolution of an electron in the ground state of the hydrogen atom is T. The period of revolution of the electron in the first excited state is

EASY
The energy of the electron in an excited state of a hydrogen atom is -3.4 eV. (Given RH=1.1×107 m-1). Then the angular momentum of the electron is
HARD

Show that the total energy of an electron in an atom is negative and is,

E=-e28πε0.

What is the significance of negative energy?

EASY
The total energy of an electron in the first excited state of hydrogen is about -3.4 eV. Its kinetic energy in this state is 
MEDIUM

State the postulates of Bohr atom model. Obtain the expression for the radius of the nth orbit of an electron based of Bohr's theory.

 

EASY
The total energy of an electron in the first excited state of H-atom is -3.4 eV, then its potential energy is in this state is _____ eV.
HARD
We consider the Thomson model of the hydrogen atom in which the proton charge is distributed uniformly over a spherical volume of radius 0.25 Ao. Applying the Bohr condition in this model, the ground state energy (in eV) of the electron will be close to
HARD
A photon falls through a height of 1 km through the earth's gravitational field. To calculate the change in its frequency, take its mass to be hvc2. The fractional change in frequency v is close to 
HARD
Derive the expression for the total energy of an electron in the nth  orbit of hydrogen atom.
EASY
Frequency of revolution of an electron revolving in nth orbit of H-atom is proportional to
MEDIUM
If the radius of the first orbit of hydrogen atom is 5.3×10-11 m, then the radius of the second orbit is.
EASY

The energy of electron in the excited state of hydrogen atom is -0.85 eV. If 'h' is Planck's constant, the angular momentum of electron in the excited state is:

EASY
If the radius of the first Bohr's orbit is r, the radius of second Bohr's orbit is.
MEDIUM

Niels Bohr made certain modification in Rutherford's model by adding the ideas of quantum hypothesis.

Derive an expression for the radius and energy of the electron in the nth orbit of hydrogen atom.

HARD
Derive an expression for the total energy of an electron in any orbit of a hydrogen atom in accordance with Bohr’s atomic model.
EASY
The relation between force acting on the electron and principle quantum number in Hydrogen atom is
HARD
A particle of mass 200 MeV c-2 collides with a hydrogen atom at rest. Soon after the collision, the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV) is N4. The value of N is: (Given the mass of the hydrogen atom to be 1 GeV c-2).........
MEDIUM
The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively,