Q30 / 99 · NTA Abhyas (JEE Main) 2020 · Chemistry · Structure of Atom

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?

  • Correct answer
    A
    9375 photons
  • B
    1000 photons
  • C
    8687 photons
  • D
    1610 photons

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

Hence, the correct answer is option: 'A'.

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