Question bank: Modern Physics: Photoelectric Effect

In a photoelectric effect experiment, a metallic plate is illuminated with light of wavelength 450 nm, resulting in the emission of electrons. It is known that the work required to remove an electron from the surface of this metal is equal to 2 eV. Calculate the maximum kinetic energy of the emitted electrons and choose the correct alternative:

A monochromatic light beam strikes a metallic sodium plate, whose work function is 2.28 eV. Considering Planck's constant h = 6.63 x 10^-34 J.s and the electron charge e = 1.6 x 10^-19 C, determine: 1) The maximum kinetic energy of the emitted electrons when light strikes the sodium. 2) The maximum velocity of the emitted electrons, assuming they start from rest. Consider that all the photon's energy is converted into the electron's kinetic energy and neglect interactions between the electrons and the material.

When a metal is illuminated by monochromatic light, electrons can be ejected if the energy of the photons exceeds the material's work function. Consider a metal X with a work function of 4.0 eV. A beam of monochromatic light with frequency f is incident on a sample of this metal. Knowing that Planck's constant is 4.14 x 10^-15 eV s, and that the charge of the electron is 1.6 x 10^-19 C, determine the energy in electron-volts of a photon from this light beam and if it is capable of ejecting electrons from metal X. Justify your answer based on the Photoelectric Effect and knowledge of Modern Physics.

In the Physics laboratory, students are investigating the photoelectric effect using a metal plate that emits electrons when exposed to light of the appropriate frequency. It is known that the work function (minimum energy for an electron to be emitted) of the metal plate is 3.0 eV. What is the minimum frequency of light required to cause the photoelectric effect on this metal? (Consider Planck's constant h = 6.63 × 10^-34 Js and 1eV = 1.6 × 10^-19 J).

A research laboratory is studying the photoelectric effect in a semiconductor material. During an experiment, a sample of the material is illuminated by a beam of monochromatic photons with an energy of 3.0 eV. The work function of the material is 2.5 eV. As part of the study, the researchers want to analyze the dependence of the photoelectric current on the intensity of the incident light. They decide to vary the intensity of the photon beam and observe the generated current. For an intensity of 2.0 W/m², determine: (1) The maximum kinetic energy of the emitted electrons. (2) The generated photoelectric current, considering that the average energy required to release an electron from the material is 2.7 eV. Consider that Planck's constant is 4.135667696e-15 eV*s, the speed of light in a vacuum is 3.0 x 10^8 m/s, and the charge of the electron is 1.602176634e-19 C.