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In the Bohr's orbit, what is the ratio of total kinetic energy and the total energy of the electron?

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Important Questions on Structure of Atom

MEDIUM

The difference between the radii of 3rd and 4th  orbits of Li2+ is ΔR1. The difference between the radii of 3rd and 4th  orbits of He+ is ΔR2. Ratio of  ΔR1:ΔR2 is :

EASY
The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with
HARD
Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n .
 
List - I List - II
(I) Radius of the nth orbit P n-2
(II) Angular momentum of the electron in the nth orbit Q n-1
(III) Kinetic energy of the electron in the nth orbit R n0
(IV) Potential energy of the electron in the nth orbit S n1
  T n2
  U n1/2

Which of the following options has the correct combination considering List-I and List-II?
MEDIUM
The wavelength corresponding to maximum energy for hydrogen is 91.2 nm. The corresponding wavelength for He+ ion is
HARD
Energy of an electron is given by  E=-2.178×10-18Z2n2 J. Wavelength of light required to excite an electron in a hydrogen atom from level n=1 to n=2 will be :
h=6.62×10-34 Js and c=3.0×108 ms-1
MEDIUM
If 0.53×10-104 metre is the radius of smallest electron orbit in hydrogen like atom, then the atom is
MEDIUM
The energy of an electron in first Bohr's orbit of H atom is 13.6eV. The energy value of electron in the first excited state of Li 2+ is :
MEDIUM
The radius of the second Bohr orbit for hydrogen atom is

(Planck's constant, (h)=6.6262×1034Js; mass of electron =9.1091×10-31kg; charge of electron =1.60210×10-19C; permittivity of vacuum, (0)=8.854185×10-12kg-1m-3A2)
EASY
The radii of the first Bohr orbit of H rH, He+rHe+ and Li2+rLi2+ are in the order
MEDIUM
A 1000-Watt bulb emits a monochromatic light of wavelength 400 nm. Calculate the number of photons emitted per second by the bulb.
MEDIUM
The ground state energy of a hydrogen atom is -13.6 eV. The energy of second excited state of He+ ion in eV is:
MEDIUM
For which of the following species, the electronic transition from n=5 state to n=2 state will produce the shortest wavelength in nm?
HARD

The figure below is the plot of potential energy versus internuclear distance (d) of H2 molecule in the electronic ground state. The value of the net potential energy E0 (as indicated in the figure) is -5.24649×10n kJ mol-1, for d=d0 at which the electron-electron repulsion and the nucleus-nucleus repulsion energies are absent, find the value of n to the nearest integer value.

As reference, the potential energy of H atom is taken as zero when its electron and the nucleus are infinitely far apart.

Use Avogadro constant as 6.023×1023 mol1.  Give an answer to the nearest integer value.

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MEDIUM
The energy of an electron in the 3rd orbit of H-atom (in J) is approximately:
HARD
If the velocity of the revolving electron of He+ in the first orbit (n=1) is v, the velocity of the electron in the second orbit is:
MEDIUM
The radius (in pm) of the 3rd orbit of He+ is Li2+ is respectively _____
EASY
If the radius of the hydrogen atom is 53 pm, the radius of the He+ ion is closest to:
MEDIUM
If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 πa0 (a0 is Bohr radius), then the value of nz is:
EASY
Which of the following is the energy of a possible excited state of hydrogen?