Orbital acceleration of electron is
n2h24π2m2r3
n2h24n2r3
4n2h2π2m2r3
4n2h24π2m2r3
which of the following is positively charged?
α-particles
β-particles
γ-rays
X-rays
The ratio of minimum to maximum wavelength in Balmer series is
5 : 9
5 : 36
1 : 4
3 : 4
Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be:
two
three
four
one
The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy?
I
II
III
IV
The kinetic energy of the electron in an orbit of radius r in the hydrogen atom is (e = electronic charge)
ke2r2
ke22r
ke2r
ke22r2
Whenever a hydrogen atom emits a photon in the Balmer series:
it may emit another photon in the Balmer series.
it must emit another photon in the Lyman series.
it may emit another photon in the Paschen series.
it need not emit any more photon.
The ionisation potential of hydrogen atom is
13.60 volt
8.24 volt
10.36 volt
14.24 bolt
Which source is associated with a line emission spectrum?
Electric fibre
Neon street Sign
Red traffic light
Sun
Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light C is:
RC4
RC
4RC
Consider the spectral line resulting from transition n = 2 to n = 1 in the atoms and ions given below. The shorterst wavelength is given by
Hydrogen atom
Deuterium
Singly ionised helium
Doubly ionised lithium
An α-particle of energy 5 MeV is scattered through 180° by a fixed uranium nucleus. The distance of closest approach is of the order
10-10 m
10-13 m
10-14 m
10-16 m
Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr's atomic model:
13.6 eV
0.65 eV
1.9 eV
11.1 eV
The energy of an electron in an excited hydrogen atom is -3.4 eV. Its angular momentum will be: (h = 6.626 × 10-34 J-s)
1.11 × 1034 J s
1.51 ×10-31 J s
2.11 × 10-34 J s
3.72 × 10-34 J s
As per the Bohr model, the minimum energy (in eV) required to remove the electron from the ground state of double ionized lithium ion (Z=3) is:
1.51
13.6
40.8
122.4
The wavelength of Ka X-rays produced by an X-ray tube is 0.76 A∘. Find the atomic number of the anode material of the tube?
41
30
20
10
According to Bohr's theory the moment of momentum of an electron revolving in second orbit of hydrogen atom will be [MP PET 1999; KCET 2003; VITEEE 2006]
2πh
πh
hπ
2hπ
The ionisation energy of a hydrogen atom is 13.6 eV. Following Bohr's theory, the energy corresponding to a transition between the 3rd and 4th orbit is: [1992]
3.40 eV
1.51 eV
0.85
0.66 eV
The ratio of the energies of the hydrogen atom in its first to second excited states is
14
49
94
4
Energy levels A, B, C of a certain atom correspond to increasing values of energy i.e. EA<EB<EC. If λ1, λ2, λ3 are the wavelengths of the radiation corresponding to the transitions C to B, B to A and C to A respectively, which of the following relation is correct?
λ3=λ1+λ2
λ3=λ1λ2λ1+λ2
λ1+λ2+λ3=0
λ32=λ12+λ22
In the Rutherford scattering experiment, what will be the correct angle for ∝-scattering for an impact parameter, b = 0?
90∘
270∘
0∘
180∘
The velocity of the electron in the ground state (H - atom) is
2.18×105 m/s
2.18×106 m/s
2.18×107 m/s
2.18×108 m/s
The element which has Kα X-ray line whose wavelength is 0.18 nm is:
Cobalt
Xenon
Copper
Iron
Calculate the highest frequency of the emitted photon in the Paschen series of spectral lines of the Hydrogen atom:
3.7×1014 Hz
9.1×1015 Hz
10.23×1014 Hz
29.7×1015 Hz
The energy of 24.6 eV is required to remove one of the electrons from a neutral helium atom. The energy (in eV) required to remove both the electrons from a neutral helium atom is:
38.2
49.2
51.8
79.0
Which of the following transitions gives photon of maximum energy?
n = 1 to n = 2
n = 2 to n = 1
n = 2 to n = 6
n = 6 to n = 2
Hydrogen atoms are excited from ground state of the principal quantum number 4. Then, the number of spectral lines observed will be
3
6
5
2
When electron jumps from n = 4 to n = 2 orbit, we get [2000]
second line of Lyman series
second line of Balmer series
second line of Paschen series
an absorption line of Balmer series
The spectrum obtained from a sodium vapour lamp is an example of
band spectrum
continuous spectrum
emission spectrum
absorption spectrum
The radius of hydrogen atom in its ground state is 5.3×10-11 m. After collision with an electron, it is found to have a radius of 21.2 ×10-11 m. What is the principal quantum number n of the final state of the atom? [1994]
n = 4
n = 2
n = 16
n = 3
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