Question bank: Modern Physics: Photoelectric Effect

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Question 1:

Medium

A researcher conducts an experiment to analyze the photoelectric effect in a certain metallic material. He uses a monochromatic light source, whose frequency is adjusted by a variable device. With this, he can adjust the frequency of the incident light on the metallic sample and measure the maximum kinetic energy of the emitted electrons. It is known that the work function of this metallic material (energy required to release an electron) is 2.2 eV. Considering this information: a) Determine the minimum frequency of light (in Hz) necessary for the material to emit electrons (threshold frequency). b) Calculate the kinetic energy of the emitted electrons when the frequency of the incident light is 1.2 times the threshold frequency found in item a. c) Explain how the intensity of the incident light affects the quantity and kinetic energy of the electrons emitted by the photoelectric effect.

Modern Physics: Photoelectric Effect

Question 2:

Medium

What is the minimum energy that light radiation needs to have to cause the photoelectric effect on a metal plate?

Modern Physics: Photoelectric Effect

Question 3:

Hard

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.

Modern Physics: Photoelectric Effect

Contextualized Question

Calculus Question

Question 4:

Medium

In a photoelectric effect experiment, a monochromatic light beam with a wavelength of 450 nm and a power of 2 mW is directed towards a sodium metal plate, whose work function (minimum energy to remove an electron) is 2 eV. What is the photoelectric current generated in this experiment? Consider Planck's constant h = 6.63 × 10^-34 Js and the electron charge e = 1.6 × 10^-19 C.

Modern Physics: Photoelectric Effect

Question 5:

Very Hard

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.

Modern Physics: Photoelectric Effect

Multidisciplinary Question

IARA TIP

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