Photoelectric Effect

The maximum kinetic energy of a photoelectron is equal to the energy provided by the photon minus the work function of the material. The kinetic energy is given by:
where is the charge of the electron and is the stopping potential.

Step 1: Einstein's photoelectric equation is given by: where is Planck's constant, is the frequency of the incident light, and is the work function of the material.
Step 2: When the frequency is doubled, the new kinetic energy is: Since , we can express the new kinetic energy as: Thus, the new kinetic energy is more than twice the initial kinetic energy. \bigskip

The photoelectric effect refers to the emission of electrons from a material (usually a metal) when exposed to light of a sufficiently high frequency. This phenomenon provides evidence for the particle nature of light, as photons transfer energy to electrons.
Experimental Set-Up:
The experimental setup to observe the photoelectric effect typically includes:
- A light source (e.g., UV light) with a known frequency.
- A photosensitive material (metal plate) connected to an electrometer.
- A variable voltage source to control the stopping potential.
- A collector to capture the emitted photoelectrons.
The light is directed onto the metal surface, and the emitted electrons are detected by the electrometer.