Monochromatic light with a wavelength of 177.5 nm, shines on a metal plate and ejects electrons. The electrons are observed to leave the metal with a kinetic energy of 3 eV. (a) Calculate the energy of the light in eV. (2 marks) iversity (b) Calculate the momentum carried by the photon. (1 marks) (c) Calculate the work function of the metal. (1 marks) (d) Calculate the momentum of the electrons. (The mass of a electron is 9.11 x 10 31kg.) (2 marks) (e) Calculate the wavelength of the electrons. (1 marks) (f) If instead of the wavelength in part (e), the electrons had a wavelength of 50 nm, and were then sent towards a single slit with width of 0.1 mm and then are detected on a screen 3 metres from the slit, what would be the distance (in cm) from the centre of the diffraction pattern to the first dark patch in the pattern? (2 marks) (g) If instead the electrons pass through two slits (each identical to the slit in part (f)) separated by 1 m, would anything change? Briefly state why or why not. (1 marks) versity