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Atom, Origin of Spectra: Bohr's Theory of Hydrogen Atom

ICSE · Class 12 · Physics

Practice quiz for Atom, Origin of Spectra: Bohr's Theory of Hydrogen Atom — ICSE Class 12 Physics. MCQs and questions with answers to test your preparation.

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Quick Quiz: Atom, Origin of Spectra: Bohr's Theory of Hydrogen Atom

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1

A muonic hydrogen atom has a ground-state radius of 2.56 × 10^-13 m. How many times smaller is this radius than the ground-state radius of ordinary hydrogen, 0.53 Å?

2

An alpha particle of charge +2e is accelerated through a potential difference of 2.0 × 10^6 V. What is its kinetic energy on reaching a gold foil?

3

A gold nucleus has atomic number 79. For an alpha particle with kinetic energy 1.48 × 10^-12 J, what is the distance of closest approach r0? Use r0 = (1/4πε0)(2Ze^2/K) and 1/4πε0 = 9.0 × 10^9 N m^2 C^-2.

4

For a hydrogen atom, what is the radius of the second Bohr orbit? Use r1 = 0.53 Å and rn = (0.53)n^2 Å for hydrogen.

59 Questions·
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Sample Questions

1multiple choice
3 marks

In a hydrogen-like atom with atomic number Z = 3, what is the radius of the third orbit? Use rn = (0.53)n^2/Z Å.

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1.59 Å

Use rn = (0.53)n^2/Z Å. For n = 3 and Z = 3, r3 = 0.53 × 9 / 3 = 1.59 Å.

2multiple choice
3 marks

For hydrogen, what is the speed of the electron in the second Bohr orbit if the speed in the first orbit is c/137?

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c/274

The speed varies as 1/n. If the first-orbit speed is c/137, then for n = 2 it becomes (c/137)/2 = c/274.

3multiple choice
3 marks

The energy of an electron in the ground state of hydrogen is -13.6 eV. What is the total energy of the electron in the fourth orbit?

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-0.85 eV

For hydrogen, En = -13.6/n^2 eV. For n = 4, En = -13.6/16 = -0.85 eV.

4multiple choice
3 marks

A hydrogen atom changes from n = 4 to n = 1. What is the energy of the emitted photon?

Show answer

12.75 eV

Energy at n = 4 is -0.85 eV and at n = 1 is -13.6 eV. The emitted photon energy is the difference: -0.85 - (-13.6) = 12.75 eV.

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Atom, Origin of Spectra: Bohr's Theory of Hydrogen Atom covers several key topics that are frequently asked in ICSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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