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Concepts Of Physics MCQ Edition [Volume 2]PhysicsX-rays

Determine the energy, the frequency, and the momentum of an X-ray photon having a wavelength of 0.10 nm .

Options

  1. A12.4 keV , 3 10¹⁷ Hz , 6.62 10⁻²³ kg m s ⁻¹
  2. B124 keV , 3 10¹⁹ Hz , 6.62 10⁻²³ kg m s ⁻¹
  3. C1.24 keV , 3 10¹⁷ Hz , 6.62 10⁻²⁵ kg m s ⁻¹
  4. D12.4 keV , 3 10¹⁸ Hz , 6.62 10⁻²⁴ kg m s ⁻¹

Correct answer

D. 12.4 keV , 3 10¹⁸ Hz , 6.62 10⁻²⁴ kg m s ⁻¹

Step-by-step solution

Given wavelength = 0.10 nm = 10⁻¹⁰ m . The energy of the photon is given by E = hc . Using hc 1240 eV nm , E = 1240 eV nm 0.10 nm = 12400 eV = 12.4 keV . The frequency of the photon is given by = c . = 3 10^8 m s ⁻¹ 10⁻¹⁰ m = 3 10¹⁸ Hz . The momentum of the photon is given by p = h . p = 6.62 10⁻³⁴ J s 10⁻¹⁰ m = 6.62 10⁻²⁴ kg m s ⁻¹ .

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