A hydrogen atom collides with another similar atom at rest. The minimum energy of the first atom so that one of them may get ionised is:
1. \(13.6\) eV  2. \(\dfrac{13.6} {2}\) eV
3. \(2 \times 13.6\) eV 4. \(10.2\) eV 
Subtopic:  Bohr's Model of Atom |
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


Radiation from hydrogen atom making transitions from state \(n=2~\text{to}~n=1\), falls on a gas containing \(\mathrm{Li}^{2+}\) ions in \(n=1,2,3\) states. Which of the following statements is correct?
1. Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=2\) state.
2. Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=3\) state.
3. Some radiations is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=1\) state.
4. None of the radiation is absorbed by \(\mathrm{Li}^{2+}\) ions.
Subtopic:  Bohr's Model of Atom |
 50%
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


A hydrogen atom in the ground state absorbs an ultraviolet photon of wavelength \(25\) nm. Ignore any momentum associated with the photon. The ejected electron has an energy of nearly:
(Take \(hc = 1240\) eV-nm)
1. \(10\) eV 
2. \(25\) eV
3. \(35\) eV
4. \(50\) eV
Subtopic:  Bohr's Model of Atom |
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


advertisementadvertisement

The energy of an atom with a \(K\text-\)shell vacancy is \(E_K\), that with an \(L\text-\)shell vacancy is \(E_L\), and that with an \(M\text-\)shell vacancy is \(E_M\): all compared to an atom with no vacancy, then:
(I) \(E_K<E_L\)
(II) \(E_L>E_M\)
(III)  \(E_L -E_K=E_{K\alpha}\), the energy of \(K_\alpha \) photon
Choose the correct option from the options given below:
1. (I) is true 2. (I), (III) are true
3. (II) is true 4. (I), (II) are true
Subtopic:  Bohr's Model of Atom |
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


In the Bohr model of the hydrogen atom, let \(R, V\) and \(E\) represent the radius of the orbit, speed of the electron and the total energy of the electron, respectively. Which of the following quantities are proportional to the quantum number \(n?\)
(A) \(VR\) (B) \(RE\)
(C) \(\large\frac VE\) (D) \(\large\frac R E\)
Choose the correct answer from the options given below:
1. (A) and (B) only
2. (C) and (B) only
3. (C) only
4. (A) and (C) only
Subtopic:  Bohr's Model of Atom |
 73%
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


The zero of the potential energy is so chosen that the total energy of the hydrogen atom in its \(1^{st}\) excited state is zero. Then, the energy of the ground state of the hydrogen atom is:
1. \(-3.4~\text{eV}\) 2. \(-6.8~\text{eV}\)
3. \(-10.2~\text{eV}\) 4. \(-13.6~\text{eV}\)
Subtopic:  Bohr's Model of Atom |
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


advertisementadvertisement

Which of the following has the same orbital radius as the Bohr radius?
1. \(n=2\) state of \(\mathrm{He}^{+}\) \(\left(Z=2\right)\) ion
2. \(n=4\) state of \(\mathrm{He}^{+}\) \(\left(Z=2\right)\) ion
3. \(n=2\) state of \(\mathrm{Be}^{3+}\)\(\left(Z=4\right)\) ion
4. \(n=3\) state of \(\mathrm{Li}^{2+}\) \(\left(Z=3\right)\) ion
Subtopic:  Bohr's Model of Atom |
 79%
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


Given below are two statements: 
Assertion (A): The magnetic moment of a hydrogen-like atom is higher when it is in a state of higher quantum number \(n.\)
Reason (R): The magnetic moment of hydrogen-like atom, as calculated from Bohr's theory, is directly proportional to the principal quantum number \(n.\)
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Bohr's Model of Atom |
 77%
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


An electron of mass \(m\) (charge \(e\)) moves in a circular orbit in a uniform magnetic field. Assume that Bohr's law of quantisation of angular momentum is valid for the electron. The minimum possible magnetic flux (flux of magnetic field) through the electron's orbit is:
1. \(\dfrac he\) 2. \(\dfrac h{2e}\)
3. \(\dfrac {2h}e\) 4. \(\dfrac h{2\pi e}\)
Subtopic:  Bohr's Model of Atom |
 55%
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.


advertisementadvertisement

Electrons accelerated through a potential difference \(V_0\) are incident on a gas of hydrogen atoms in the ground state. For what minimum value of \(V_0\) will the collisions of the electrons with the atom be perfectly inelastic?
1. \(13.6\) V
2. \(27.2\) V
3. \(10.2\) V
4. \(6.8\) V
Subtopic:  Bohr's Model of Atom |
From NCERT

To unlock all the explanations of this course, you need to be enrolled.

Hints

To unlock all the explanations of this course, you need to be enrolled.