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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Bohr's Model and Physics of the Atom

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Bohr's Model and Physics of the Atom

When a photon is emitted by a hydrogen atom, it carries momentum....

When a photon is emitted by a hydrogen atom, it carries momentum. Calculate the momentum carried by the photon if a hydrogen atom emits light of wavelength 656.3 nm656.3 \text{ nm}.

Options

  1. A3.3×10−27 kg m s−13.3 \times 10^{-27} \text{ kg m s}^{-1}
  2. B2.0×10−27 kg m s−12.0 \times 10^{-27} \text{ kg m s}^{-1}
  3. C1.0×10−27 kg m s−11.0 \times 10^{-27} \text{ kg m s}^{-1}
  4. D1.0×10−19 kg m s−11.0 \times 10^{-19} \text{ kg m s}^{-1}

Correct answer

C. 1.0×10−27 kg m s−11.0 \times 10^{-27} \text{ kg m s}^{-1}

Step-by-step solution

The momentum of a photon is given by the de Broglie relation:

p=hλp = \dfrac{h}{\lambda}

Given:
Wavelength λ=656.3 nm=656.3×10−9 m\lambda = 656.3 \text{ nm} = 656.3 \times 10^{-9} \text{ m}
Planck's constant h=6.63×10−34 J sh = 6.63 \times 10^{-34} \text{ J s}

Substituting the values:

p=6.63×10−34656.3×10−9p = \dfrac{6.63 \times 10^{-34}}{656.3 \times 10^{-9}}

p=6.636.563×10−27p = \dfrac{6.63}{6.563} \times 10^{-27}

p≈1.0×10−27 kg m s−1p \approx 1.0 \times 10^{-27} \text{ kg m s}^{-1}
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