Light of wavelength 304.2 nm illuminates a metal surface whose cutoff wavelength is 352.8 nm . W

step 1 To solve this problem let us write the given data first. So here the value of lambda 1 is given

Light of wavelength 304.2 nm illuminates a metal surface...

Key Concepts

Photoelectric Effect

The photoelectric effect is a phenomenon in which electrons are ejected from a metal surface when it is exposed to light of a frequency high enough to overcome the binding energy of the electrons. This effect was critical in the development of quantum mechanics as it demonstrated that light can be described as consisting of quantized packets of energy called photons.

Work Function

The work function is the minimum amount of energy that must be supplied to an electron to overcome the attractive forces that bind it to a metal. It is a characteristic property of the metal and is directly related to the threshold frequency or cutoff wavelength, below which no electrons are emitted regardless of the light intensity.

Photon Energy

Photon energy is defined by the relation E = hf, where E is the photon energy, h is Planck's constant, and f is the frequency of light. Alternatively, since the frequency and wavelength are inversely related via the speed of light, photon energy can also be expressed as E = hc/?. This relation is fundamental in linking the properties of light with the energy required to eject electrons in the photoelectric effect.

Stopping Potential

The stopping potential is the applied voltage that is just sufficient to stop the most energetic photoelectrons from reaching the collector in a photoelectric experiment. It is a measure of the maximum kinetic energy of the emitted electrons and is calculated by equating this kinetic energy to the energy difference between the incident photon and the work function of the metal using Einstein’s photoelectric equation.

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