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Q. No.When an \(\alpha\text-\)particle of mass \(m\) moving with velocity \(v\) bombards on a heavy nucleus of charge \(Ze\), its distance of closest approach from the nucleus depends on \(m\) as:
| 1. | \(\dfrac{1}{\sqrt{m}}\) | 2. | \(\dfrac{1}{m^{2}}\) |
| 3. | \(m\) | 4. | \(\dfrac{1}{m}\) |
Subtopic: Various Atomic Models |
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Level 2: 60%+
NEET - 2016
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A particle of mass \(m\) is moving around the origin with a constant force \(F\) pulling it towards the origin. If Bohr model is used to describe its motion, the radius \(r\) of the \(n^{\text{th}}\) orbit and the particle's speed \(v\) in the orbit depend on \(n\) as:
| 1. | \(r \propto n^{2/3}; v \propto n^{1/3}\) |
| 2. | \(r \propto n^{4/3}; v \propto n^{-1/3}\) |
| 3. | \(r \propto n^{1/3}; v \propto n^{1/3}\) |
| 4. | \(r \propto n^{1/3}; v \propto n^{2/3}\) |
Subtopic: Bohr's Model of Atom |
Level 3: 35%-60%
NEET - 2025
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The ground state energy of a hydrogen atom is \(-13.6~\text{eV}.\) The energy needed to ionize the hydrogen atom from its second excited state will be:
| 1. | \(13.6~\text{eV}\) | 2. | \(6.8~\text{eV}\) |
| 3. | \(1.51~\text{eV}\) | 4. | \(3.4~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
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Level 2: 60%+
NEET - 2023
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The radius of innermost orbit of a hydrogen atom is \(5.3 \times 10^{-11}~\text m.\) What is the radius of the third allowed orbit of a hydrogen atom?
| 1. | \(4.77~ \mathring{A}\) | 2. | \(0.53~ \mathring{A}\) |
| 3. | \(1.06~ \mathring{A}\) | 4. | \(1.59~ \mathring{A}\) |
Subtopic: Bohr's Model of Atom |
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NEET - 2023
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Let \(L_1\) and \(L_2\) be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio \(L_1:L_2\) is:
| 1. | \(1:2\) | 2. | \(2:1\) |
| 3. | \(3:2\) | 4. | \(2:3\) |
Subtopic: Bohr's Model of Atom |
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NEET - 2022
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For which one of the following Bohr models is not valid?
| 1. | Singly ionised helium atom \(\big(\mathrm{He}^{+}\big).\) |
| 2. | Deuteron atom. |
| 3. | Singly ionised neon atom \(\big(\mathrm{Ne}^{+}\big).\) |
| 4. | Hydrogen atom. |
Subtopic: Bohr's Model of Atom |
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NEET - 2020
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The radius of the first permitted Bohr orbit for the electron in a hydrogen atom is 0.5 Å, and its ground state energy is \(-13.6~\text{eV}.\) If the electron in the hydrogen atom is replaced by a muon \((\mu^{-}),\) which has the same charge as the electron but is \(207\) times more massive, what will be the new values for the first Bohr radius and ground state energy?
| 1. | \(0.53\times10^{-13}~\text{m}, ~-3.6~\text{eV}\) |
| 2. | \(25.6\times10^{-13}~\text{m}, ~-2.8~\text{eV}\) |
| 3. | \(2.56\times10^{-13}~\text{m}, ~-2.8~\text{keV}\) |
| 4. | \(2.56\times10^{-13}~\text{m}, ~-13.6~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
51%
Level 3: 35%-60%
NEET - 2019
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The total energy of an electron in the orbit of an atom is \(-3.4~\text{eV}.\) Its kinetic and potential energies are, respectively:
| 1. | \(3.4~\text{eV},~3.4~\text{eV}\) |
| 2. | \(-3.4~\text{eV},~-3.4~\text{eV}\) |
| 3. | \(-3.4~\text{eV},~-6.8~\text{eV}\) |
| 4. | \(3.4~\text{eV},~-6.8~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
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NEET - 2019
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An electron in hydrogen atom makes a transition \(n_1 \rightarrow n_2\) where \(n_1\) and \(n_2\) are principal quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible values of \(n_1\) and \(n_2\) are:
| 1. | \( n_1 = 6~\text{and}~n_2 = 2\) | 2. | \( n_1 = 8~\text{and}~ n_2 = 1\) |
| 3. | \( n_1 = 8~\text{and}~ n_2 = 2\) | 4. | \(n_1 = 4~\text{and}~n_2 = 2\) |
Subtopic: Bohr's Model of Atom |
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NEET - 2013
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An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
(\(m\) is the mass of hydrogen atom, \(R\) is Rydberg constant and \(h\) is Plank’s constant)
(\(m\) is the mass of hydrogen atom, \(R\) is Rydberg constant and \(h\) is Plank’s constant)
| 1. | \(\dfrac{24m}{25hR}\) | 2. | \(\dfrac{25hR}{24m}\) |
| 3. | \(\dfrac{25m}{24hR}\) | 4. | \(\dfrac{24hR}{25m}\) |
Subtopic: Bohr's Model of Atom |
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AIPMT - 2012
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