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Q. No.
In Bohr's model if the atomic radius of the first orbit is \(r_0\), then what will be the radius of the third orbit?
1. \(\dfrac{r_0}{9}\) 2. \(r_0\)
3. \(9r_0\) 4. \(3r_0\)
Subtopic:  Bohr's Model of Atom |
 87%
Level 1: 80%+
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What is the ratio of the speed of an electron in the first orbit of an \(\mathrm{H}\text-\)atom to the speed of light?

1. \(\dfrac{1}{137}\) 2. \(137\)
3. \(\dfrac{1}{83}\) 4. \(\dfrac{1}{47}\)
Subtopic:  Bohr's Model of Atom |
 83%
Level 1: 80%+
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The total energy of an electron in the first excited state of a hydrogen atom is about \(-3.4~\text{eV}.\) Its kinetic energy in this state will be:
1. \(-6.8~\text{eV}\)
2. \(3.4~\text{eV}\)
3. \(6.8~\text{eV}\)
4. \(-3.4~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
 87%
Level 1: 80%+
AIPMT - 2005
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In the \(n^{th}\) orbit, the energy of an electron is \(E_{n}=-\frac{13.6}{n^2} ~\text{eV}\) for the hydrogen atom. What will be the energy required to take the electron from the first orbit to the second orbit?
1. \(10.2~\text{eV}\)
2. \(12.1~\text{eV}\)
3. \(13.6~\text{eV}\)
4. \(3.4~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
 80%
Level 1: 80%+
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If an electron in a hydrogen atom jumps from the \(3\)rd orbit to the \(2\)nd orbit, it emits a photon of wavelength \(\lambda\). What will be the corresponding wavelength of the photon when it jumps from the \(4^{th}\) orbit to the \(3\)rd orbit?

1. \(\dfrac{16}{25} \lambda\) 2. \(\dfrac{9}{16} \lambda\)
3. \(\dfrac{20}{7} \lambda\) 4. \(\dfrac{20}{13} \lambda\)
Subtopic:  Bohr's Model of Atom |
 81%
Level 1: 80%+
NEET - 2016
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Hydrogen \({}_{1}\mathrm{H}^{1}\), Deuterium \({}_{1}\mathrm{H}^{2}\), singly ionised helium \(\left({}_{2}\mathrm{He}^{4}\right)^+\), and doubly ionised lithium\(\left({}_{3}\mathrm{Li}^{6}\right)^{+++}\) all have one electron around the nucleus. Consider an electron transition from \(n=2\) to \(n=1\). If the wavelengths of emitted radiations are \(\lambda_1, \lambda_2, \lambda_3~\text{and}~\lambda_4\) respectively, then approximately which one of the following is correct?
1. \(4 \lambda_1=2 \lambda_2=2 \lambda_3=\lambda_4\)
2. \( \lambda_1=2 \lambda_2=2 \lambda_3=\lambda_4\)
3. \( \lambda_1=\lambda_2=4 \lambda_3=9\lambda_4\)
4. \( \lambda_1=2\lambda_2=3 \lambda_3=\lambda_4\)

Subtopic:  Bohr's Model of Atom |
 80%
Level 1: 80%+
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Given below are two statements: 
Statement I: The time period of revolution of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n^3.\)
Statement II: The kinetic energy of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n.\)
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Bohr's Model of Atom |
 82%
Level 1: 80%+
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The radius of a hydrogen atom in its ground state is \(5.3\times 10^{-11}\) m. After collision with an electron, it is found to have a radius of \(21.2\times 10^{-11}\) m. What is the principal quantum number n of the final state of the atom?
1. \(n=4\)
2. \(n=2\)
3. \(n=16\)
4. \(n=3\)

Subtopic:  Bohr's Model of Atom |
 78%
Level 2: 60%+
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What is the ratio of the circumference of the first Bohr orbit for the electron in the hydrogen atom to the de-Broglie wavelength of electrons having the same velocity as the electron in the first Bohr orbit of the hydrogen atom?
1. \(1:1\)
2. \(1:2\)
3. \(1:4\)
4. \(2:1\)

Subtopic:  Bohr's Model of Atom |
 78%
Level 2: 60%+
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Considering the \(3^{rd}\) orbit of \(\mathrm{He}^{+}\) (Helium ion), using the non-relativistic approach, the speed of the electron in this orbit will be: (Given: \(Z=2, K = 9\times 10^{9}\), and Planck's constant, \(h= 6.6\times10^{-34}~\text{J-s}\) )
1. \(2.92\times 10^{8}\) m/s
2. \(1.46\times 10^{6}\) m/s
3. \(0.73\times 10^{8}\) m/s
4. \(3.0\times 10^{8}\) m/s

Subtopic:  Bohr's Model of Atom |
 78%
Level 2: 60%+
NEET - 2015
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