NCERT Solutions for Class 12 Physics Chapter 12: Atoms

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NCERT Solutions for Class 12 Physics Chapter 12 Atoms are given in this article. Atoms are the smallest unit into which matter can be divided without the release of electrically charged particles. It also is the smallest unit of matter that has the characteristic properties of a  chemical element. Atom is the basic building block of chemistry.

Unit 8 Atoms and Nuclei along with Unit 7 Dual Nature of Radiation and Matter has a weightage of 12 marks in the CBSE Board examinations. The Class 12 Physics Chapter 12 NCERT Solutions cover the concepts of Atomic SpectraMagnetic Quantum Number, and energy levels.

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NCERT Solutions for Class 12 Physics Chapter 12

The NCERT solutions for Class 12 Physics Chapter 12: Atoms is given below. 

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CBSE Class 12 Physics Chapter 12 – Topics Covered

  • Thomson’s Atomic Model: Every atom is a uniformly positive charged sphere of radius of the order of 10-10 m, in which the entire mass is distributed uniformly and negatively charged electrons are randomly embedded randomly. 

Limitations of Thomson’s Atomic Model

1. It couldn’t explain the origin of spectral series of hydrogen and other atoms.

2. It couldn’t explain the large angle scattering of α-particles.

  • Bohr Model of the Hydrogen AtomAn electron can revolve in certain non-radiating orbits for which the angular momentum of electron is an integer multiple of (h/2π).
\(r_n = n^2({h^2 \epsilon_o \over \pi mZe^2})\)
  • Hydrogen Spectrum Series: Each element emits a radiation spectrum, which is characteristic of the element itself. The spectrum is known as the line spectrum.

Hydrogen spectrum consists of 5 series – Lyman Series, Balmer Series, Paschen Series, Brackett Series, and Pfund Series.
  • Wave Model is based on wave mechanics. Quantum numbers are the numbers that are required to completely specify the state of the electrons.

In the presence of a strong magnetic field, the 4 quantum number are Principle quantum number, Orbital angular momentum quantum number, Magnetic quantum number, and Magnetic spin angular momentum quantum number.

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CBSE CLASS XII Related Questions

  • 1.
    The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

      • \( 0.5 \times 10^3 \, \text{m}^{-1} \)
      • \( 6.0 \times 10^2 \, \text{m}^{-1} \)
      • \( 7.5 \times 10^2 \, \text{m}^{-1} \)
      • \( 1.5 \times 10^3 \, \text{m}^{-1} \)

    • 2.
      The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

        • \( \dfrac{3h}{2\pi} \)
        • \( \dfrac{2h}{\pi} \)
        • \( \dfrac{h}{\pi} \)
        • \( \dfrac{h}{2\pi} \)

      • 3.
        Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))


          • 4.
            The radius of a nucleus of mass number 125 is:

              • 6.0 fm
              • 30 fm
              • 72 fm
              • 150 fm

            • 5.
              In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.


                • 6.
                  If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

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