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X -rays can be generated by accelerating electrons in a vacuum and letting them impact on atoms in a metal surface. If the 1000 eV kinetic energy of the electrons is completely converted to photon energy. If the electron current is 1.5 × 10 - 5 A , how many photons are produced in 10 -10 second?

Options

  1. A9375 photons
  2. B1000 photons
  3. C8687 photons
  4. D1610 photons

Correct answer

A. 9375 photons

Step-by-step solution

λ in A 0 = 12408 1000 = 12.4 A 0 X-ray Voltage = 1000 V Wattage = 1000 × 1.5 × 10 - 5 = 1.5 × 10 - 2 W = 1.5 × 10 - 2 J / sec Energy of one photon = 1000 × 1.6 × 1 0 - 1 9 J = 1.6 × 10 - 16 J No. of photons/sec = 1.5 × 10 - 2 1.6 × 10 -1 6 = 0.9375 × 10 14 = 9 . 3 7 5 × 1 0 1 3 photons

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