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