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(Structure of the Atom)

Photoelectric effect & X-rays

Photoelectric Effect & X-rays

Understanding the Photoelectric Effect

The photoelectric effect occurs when light shines on a metal surface and ejects electrons from that surface. This phenomenon demonstrates the particle nature of light.

Key Concepts of the Photoelectric Effect

  • Threshold Frequency: There is a minimum frequency of light, called the threshold frequency f0f_0, below which no electrons are emitted, regardless of the light's intensity.
  • Photon Energy: The energy of a photon is given by E=hfE = hf, where hh is Planck's constant (6.63×1034 Js)(6.63 \times 10^{-34} \text{ Js}) and ff is the frequency of the light.
  • Einstein’s Photoelectric Equation: The maximum kinetic energy KmaxK_{\text{max}} of the ejected electrons is given by: Kmax=hfϕK_{\text{max}} = hf - \phi where ϕ\phi is the work function of the metal.

 

Production of X-rays

X-rays are produced when high-energy electrons strike a metal target. This process involves converting kinetic energy into electromagnetic radiation.

Structure of X-ray Tubes

  • Cathode: Emits electrons when heated.
  • Anode: A metal target where X-rays are produced.
  • High Voltage: Accelerates electrons towards the anode.

 

Worked Example

Calculate the maximum kinetic energy of electrons ejected from a metal with a work function of 2 eV2 \text{ eV} when illuminated by light of frequency ν=1.5×1015 Hz\nu = 1.5 \times 10^{15} \text{ Hz}.

 

 

Tuity Tip

Hover me!

Remember: The photoelectric effect supports the particle theory of light, showing that light can be thought of as packets of energy called photons.

Practical Tip: In X-ray tubes, the choice of target material affects the efficiency and quality of X-ray production.

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