Final answer:
The maximum kinetic energy of the emitted photoelectrons can be found using the equation: K.E. = energy of the incident photon - work function. The work function of the metal can be found by rearranging the equation: work function = energy of the incident photon - maximum kinetic energy. By substituting the given values into the equations, the work function of the metal can be determined.
Step-by-step explanation:
The maximum kinetic energy of the emitted photoelectrons can be found using the equation:
K.E. = energy of incident photon - work function
In this case, the energy of the incident photon can be calculated using the formula:
E = hc/λ
where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the UV light.
Once the energy of the incident photon is known, the work function of the metal can be found by rearranging the equation:
work function = energy of incident photon - maximum kinetic energy
Substituting the given values into the equations, we can find the work function of the metal.