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DSE Physics: Atomic World (Elective) — Practice Questions & Answers

The Rutherford atom and photoelectric effect, the Bohr model and atomic spectra, wave-particle duality, and probing matter and nanoscience.

360 practice questions available for this topic — here are 10 with full answers and explanations.

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Practice questions with answers

1 Multiple choice · Medium

In the Bohr model the energy of the hydrogen atom is E_n = -13.6/n² eV. The negative sign indicates that the electron is

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WhyA negative energy means the electron is bound to the nucleus.
2 Multiple choice · Hard

In the Bohr model the orbital radius is proportional to n². The ratio of the radius in the first excited state (n = 2) to that in the second excited state (n = 3) is

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Whyr is proportional to n², so 2² : 3² = 4 : 9.
3 Multiple choice · Easy

The energy needed to remove the electron from a ground-state (n = 1) hydrogen atom is

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WhyThe ionisation energy of hydrogen is 13.6 eV.
4 Fill in the blank · Medium

In E_n = -13.6/n² eV, the sign shows the electron is bound and energy is needed to free it.

Answer: negative / minus

WhyThe energy is negative for bound states.
5 Fill in the blank · Hard

In the Bohr model the radius of an allowed orbit is proportional to n to the power (a power of the quantum number).

Answer: 2 / two / squared

Whyr is proportional to n².
6 Fill in the blank · Easy

The minimum energy needed to ionise a hydrogen atom in its ground state is eV.

Answer: 13.6 / 13.6 eV

WhyThis is the ionisation energy.
7 Multiple choice · Medium

Photons of energy 7 eV strike a metal and eject electrons with a maximum kinetic energy of 4 eV. The work function of the metal is

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Whyφ = hf - KE_max = 7 - 4 = 3 eV.
8 Multiple choice · Hard

For the metal above (work function 3 eV), photons of energy 4 eV are used. The stopping potential is

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WhyKE_max = 4 - 3 = 1 eV, so the stopping potential is 1 V.
9 Multiple choice · Easy

In the photoelectric effect, increasing the intensity of light (at the same frequency) increases the

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WhyMore intense light ejects more photoelectrons per second.
10 Fill in the blank · Medium

The minimum energy needed to release an electron from a metal surface is called the function.

Answer: work

WhyThis is the work function.

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Key terms in Atomic World (Elective)

Photoelectric effect: The emission of electrons from a metal surface when light of high enough frequency shines on it.
Photon: A discrete packet or quantum of electromagnetic energy, with energy E = h f.
Work function: The minimum energy needed to release an electron from the surface of a metal.
Threshold frequency: The minimum frequency of light that can cause photoelectric emission from a given metal.
Planck constant: The constant h that relates a photon's energy to its frequency, about 6.63 x10^-34 J s.
Stopping potential: The voltage just able to stop the most energetic photoelectrons reaching the collector.
Energy level: One of the discrete allowed energies that an electron in an atom may have.
Line spectrum: A spectrum of separate bright or dark lines produced by electron transitions between energy levels.

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