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Answer :
The binding energy of the electron can be calculated as 8.76 x 10^-17 J.
In the photoelectric effect, when an incident radiation with a specific wavelength illuminates the surface of a metal, electrons can be ejected from the metal if they absorb enough energy. The kinetic energy of the electron is related to the binding energy, which is the energy required to remove an electron from the metal.
To calculate the binding energy, we need to convert the kinetic energy of the electron into the binding energy. Since the kinetic energy is given as 1.18 x 10^-17 J, this value represents the energy gained by the electron as it is ejected from the metal surface.
The binding energy is the energy required to overcome the attractive forces between the electron and the metal. Thus, the binding energy can be determined by subtracting the kinetic energy from the incident radiation energy.
The energy of the incident radiation can be calculated using the equation E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. By substituting the given wavelength of 2.00 nm into the equation, we can find the incident radiation energy.
Next, we subtract the kinetic energy from the incident radiation energy to obtain the binding energy. The result is 8.76 x 10^-17 J.
In conclusion, the binding energy of the electron in the photoelectric effect is 8.76 x 10^-17 J. This value represents the energy required to remove the electron from the metal surface.
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