If the approximate energy of a photon present in an X-ray is 8.0 × 10-15 joules, what's the frequency of the X-ray? Given: Planck's constant is 6.63 × 10-34 joule·seconds.
(A)1.2 × 1014 hertz
(B)1.2 × 1019 hertz
(C)8.2 × 1018 hertz
(D)8.3 × 1019 hertz

Respuesta :

E=hf
E/h=f
8e-15/6.63e-34=1.2e19
B is correct

This question involves the concept of Planck's Law.

The frequency of X-ray is "(B) 1.2 x 10¹⁹ Hz".

Planck's Law

Planck's law states that the energy from radiation is emitted in packets of energy called photon. The energy of each photon is directly proportional to the frequency. Mathematically:

[tex]E = h\nu\\\\\nu=\frac{E}{h}[/tex]

where,

  • [tex]\nu[/tex] = frequency = ?
  • E = energy = 8 x 10⁻¹⁵ J
  • h = Planck's Constant = 6.63 x 10⁻³⁴ J.s

Therefore,

[tex]\nu=\frac{8\ x\ 10^{-15}\ J}{6.63\ x\ 10^{-34}\ J.s}[/tex]

ν = 1.2 x 10¹⁹ Hz

Learn more about Planck's Law here:

https://brainly.com/question/4751848

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