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Bohr’s Model and Physics of Atom Physics - Bohr’s Model and Physics of Atom

Rajasthan Board (RBSE) - STD 12 Science - Physics (Rajasthan - English Medium). 75 questions in this chapter.

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Bohr’s Model and Physics of Atom question types

75 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

75
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6
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5
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Sample Questions

Bohr’s Model and Physics of Atom questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The minimum orbital angular momentum of the electron in a hydrogen atom is:
  1. $\text{h}$
  2. $\frac{\text{h}}{2}$
  3. $\frac{\text{h}}{2\pi}$
  4. $\frac{\text{h}}{\lambda}$
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Q 2M.C.Q (1 Marks)1 Mark
Let $A_n$ be the area enclosed by the $n^{th}$ orbit in a hydrogen atom. The graph of ln $\Big(\frac{\text{A}_\text{n}}{\text{A}_1}\Big)$ against in $(n):$
  1. Will pass through the origin.
  2. Will be a straight line with slope $4.$
  3. Will be a monotonically increasing nonlinear curve.
  4. Will be a circle.
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Q 3M.C.Q (1 Marks)1 Mark
Which of the following products in a hydrogen atom are independent of the principal quantum number n? The symbols have their usual meanings.
  1. vn.
  2. Er.
  3. En.
  4. vr.
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Q 4M.C.Q (1 Marks)1 Mark
Three photons coming from excited atomic-hydrogen sample are picked up. Their energies are 12.1eV, 10.2 eV and 1.9eV. These photons must come from:
  1. A single atom.
  2. Two atoms.
  3. Three atoms.
  4. Either two atoms or three atoms.
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Q 5M.C.Q (1 Marks)1 Mark
Suppose, the electron in a hydrogen atom makes transition from $n = 3$ to $n = 2$ in $10^{-8}s.$ The order of the torque acting on the electron in this period, using the relation between torque and angular momentum as discussed in the chapter on rotational mechanics is$:$
  • A
    $10^{-34}\ Nm$
  • B
    $10^{-24}\ Nm$
  • ✓
    $10^{-42}\ Nm$
  • D
    $10^{-8}\ Nm$

Answer: C.

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Q 82 Marks Questions2 Marks
A neutron having kinetic energy 12.5eV collides with a hydrogen atom at rest. Nelgect the difference in mass between the neutron and the hydrogen atom and assume that the neutron does not leave its line of motion. Find the possible kinetic energies of the neutron after the event.
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Q 92 Marks Questions2 Marks
The light emitted in the transition $n = 3$ to $n = 2$ in hydrogen is called $\text{H}_\alpha$ light. Find the maximum work function a metal can have so that $\text{H}_\alpha$ light can emit photoelectrons from it.
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Q 102 Marks Questions2 Marks
A filter transmits only the radiation of wavelength greater than $440\ nm.$ Radiation from a hydrogen-discharge tube goes through such a filter and is incident on a metal of work function $2.0eV.$ Find the stopping potential which can stop the photoelectrons.
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Q 112 Marks Questions2 Marks
The average kinetic energy of molecules in a gas at temperature $T$ is $1.5\ kT.$ Find the temperature at which the average kinetic energy of the molecules of hydrogen equals the binding energy of its atoms. Will hydrogen remain in molecular from at this temperature? Take $k = 8.62 \times 10^{-5}eV\ K^{-1}.$
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Q 123 Marks Question3 Marks
Find the temperature at which the average thermal kinetic energy is equal to the energy needed to take a hydrogen atom from its ground state to $n = 3$ state. Hydrogen can now emit red light of wavelength $653.1\ nm.$ Because of Maxwellian distribution of speeds, a hydrogen sample emits red light at temperatures much lower than that obtained from this problem. Assume that hydrogen molecules dissociate into atoms.
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Q 143 Marks Question3 Marks
Which wavelengths will be emitted by a sample of atomic hydrogen gas (in ground state) if electrons of energy 12.2eV collide with the atoms of the gas?
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Q 153 Marks Question3 Marks
The first excited energy of a $He^+$ ion is the same as the ground state energy of hydrogen. Is it always true that one of the energies of any hydrogen-like ion will be the same as the ground state energy of a hydrogen atom$?$
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Q 163 Marks Question3 Marks
Average lifetime of a hydrogen atom excited to $n = 2$ state is $10^{-8}s$. Find the number of revolutions made by the electron on the average before it jumps to the ground state.
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Q 174 Marks Questions4 Marks
When white radiation is passed through a sample of hydrogen gas at room temperature, absorption lines are observed in Lyman series only. Explain.
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Q 184 Marks Questions4 Marks
Suppose in an imaginary world the angular momentum is quantized to be even integral multiples of $\frac{\text{h}}{2\pi}$ What is the longest possible wavelength emitted by hydrogen atoms in visible range in such a world according to Bohr's model?
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Q 195 Marks Questions5 Marks
Consider an excited hydrogen atom in state $n$ moving with a velocity $u(ν << c).$ It emits a photon in the direction of its motion and changes its state to a lower state $m.$ Apply momentum and energy conservation principles to calculate the frequency $ν$ of the emitted radiation. Compare this with the frequency $ν_0$ emitted if the atom were at rest.
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Q 205 Marks Questions5 Marks
Radiation coming from transition $n = 2$ to $n = 1$ of hydrogen atoms falls on helium ions in $n = 1$ and $n = 2$ states. What are the possible transitions of helium ions as they absorbs energy from the radiation?
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Q 215 Marks Questions5 Marks
A beam of monochromatic light of wavelength $\lambda$ ejects photoelectrons from a cesium surface $\big(\Phi=1.9\text{eV}\big).$ These photoelectrons are made to collide with hydrogen atoms in ground state. Find the maximum value of $\lambda$ for which (a) hydrogen atoms may be ionized, (b) hydrogen atoms may get excited from the ground state to the first excited state and (c) the excited hydrogen atoms may emit visible light.
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Q 225 Marks Questions5 Marks
What will be the energy corresponding to the first excited state of a hydrogen atom if the potential energy of the atom is taken to be $10eV$ when the electron is widely separated from the proton? Can we still write $\text{E}_\text{n}=\frac{\text{E}_1}{\text{n}^2}?\text{ r}_\text{n}=\text{a}_0\text{n}^2?$ 
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Q 235 Marks Questions5 Marks
The difference in the frequencies of series limit of Lyman series and Balmer series is equal to the frequency of the first line of the Lyman series. Explain.
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