In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because
\(\mathrm{A}.\) The size of gold nucleus is very small as compared to the size of gold atom.
\(\mathrm{B}.\) Alpha particle and gold nucleus have equal charge.
\(\mathrm{C}.\) The impact parameter is minimum for a few alpha particles.
\(\mathrm{D}.\) A few alpha particles have very high kinetic energy.
\(\mathrm{E}.\) Only a few alpha particles undergo head-on collision with the nuclei.
Choose the correct answer from the option given below:
1. \(\mathrm{A, B}\) Only
2. \(\mathrm{B, E}\) Only
3. \(\mathrm{C, D}\) Only
4. \(\mathrm{A, C,E}\) Only
Subtopic:  Various Atomic Models |
 91%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.

Using Bohr's model, calculate the ratio of the magnetic field generate due to the motion of the electrons in the \(2^{nd}\) and \(4^{th}\) orbits of hydrogen atom.
1. \(1:1\)
2. \(32:2\)
3. \(16:3\)
4. \(32:1\)
Subtopic:  Bohr's Model of Atom |
 68%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

The ratio of momentum of the photons of the \(1^\text{st}\) and \(2^\text{nd}\) line of Balmer series of Hydrogen atoms is \(\alpha / \beta .\) The possible values of \(\alpha\) and \(\beta\) are:
1. \(27~\text{and}~20\)
2. \(3~\text{and}~16\)
3. \(5~\text{and}~36\)
4. \(20~\text{and}~27\)
Subtopic:  Bohr's Model of Atom |
 56%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

Angular momentum of an electron in a hydrogen atoms is \(\dfrac{3 {h}}{\pi}\), then the energy electron is: (in eV)
1. \(-1.51\)
2. \(-0.85\)
3. \(-0.38\)
4. \(-0.28\)
Subtopic:  Bohr's Model of Atom |
 65%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

In the hydrogen atom, the electron makes a transition from the higher orbit \((i)\) to a lower orbit \((f)\). The ratio of the radius of the orbits in given by \(r_i: r_f=16: 4 .\)
The wavelength of photon emitted due to this transition is: (in nm)
(Given Rydberg constant = \(\left.1.0973 \times 10^7 / \text{m}\right)\)
1. \(121\)
2. \(242\)
3. \(486\)
4. \(974\)
Subtopic:  Spectral Series |
 60%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

If an alpha particle with energy \(7.7~\text{MeV}\) is bombarded on a thin gold foil, the closest distance from nucleus it can reach is: (in m)
(Atomic number of gold = \(79\) and \(\dfrac{1}{4 \pi \varepsilon_0}=9 \times 10^9\) in SI units)
1. \(2.95 \times 10^{-14}\)
2. \(2.95 \times 10^{-16}\)
3. \(3.85 \times 10^{-16}\)
4. \(3.85 \times 10^{-14}\)
Subtopic:  Various Atomic Models |
 72%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

The energy of an electron in an orbit of the Bohr’s atom is \(-0.04 {E}_0 ~\text{eV}\) where \(E_0\) is the ground state energy. If \(L\) is the angular momentum of the electron in this orbit and \(h\) is the Planck’s constant, then \(\dfrac{2 \pi {L}}{h}\) is:
1. \(2\)
2. \(4\)
3. \(5\)
4. \(6\)
Subtopic:  Bohr's Model of Atom |
 61%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

\(7.9 ~\text {MeV}\) \(\alpha\)-particle scatters from a target material of atomic number \(79.\) From the given data the estimated diameter of nuclei of the target material is (approximately):
\(\left[\frac{1}{4 \pi \epsilon_{o}}=9 \times 10^9 ~\text{Nm}^2 / \text{C}^2 \text { and electron charge }=1.6 \times 10^{-19} \text{C}\right]\)
1. \(5.76\times10^{-14}\) m
2. \(1.44\times10^{-13}\) m
3. \(2.88\times10^{-14}\) m
4. \(1.69\times10^{-12}\) m
Subtopic:  Various Atomic Models |
 79%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

The smallest wavelength of the Lyman series is \(91~\text{nm}\). The difference between the largest wavelength of the Paschen and Balmer series is nearly:
1. \(1875\) mm
2. \(1550\) mm
3. \(1217\) mm
4. \(1784\) mm
Subtopic:  Spectral Series |
 71%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

In hydrogen atom spectrum, (\(R\rightarrow\) Rydberg's constant)
\(\mathrm{A}\). The maximum wavelength of the radiation of Lyman series is \(\dfrac{4}{3 R}\)
\(\mathrm{B}\). The Balmer series lies in the visible region of the spectrum
\(\mathrm{C}\). The minimum wavelength of the radiation of Paschen series is \(\dfrac{9}{{R}}\).
\(\mathrm{D}\). The minimum wavelength of Lyman series is \(\dfrac{5}{{4R}}\)
Choose the correct answer from the options given below:
1. \(\mathrm{B,D}\) Only 
2. \(\mathrm{A,B~\text{and}~C}\) Only
3. \(\mathrm{A,B~\text{and}~D}\) Only 
4. \(\mathrm{A,B}\) Only 
Subtopic:  Spectral Series |
 89%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.