Please help with solution explanation for questions below:

1. Determine the energy, in eV, for photons with the following characteristics:

a. 1.2 x 10¹⁸ Hz (x-rays) (Ans: 5.0 x 10^{3 eV})

b. 400 nm (violet) (Ans: 3.1 eV)

c. 4.4 x 10¹⁴ Hz (red) ( Ans: 1.8 eV)

d. 900 nm (infrared) (Ans: 1.4 eV)

2. Calculate the wavelength, in nanometers, of a photon with 3.20 x 10^-19 J of energy (Ans:622nm)

3. What is the minimum frequency of the photon required to eject electrons from a metal whose work function is 2.4 eV? (Ans: 5.8 x 10¹⁴ Hz)

4. Barium has a work function of 2.48 eV. What is the maximum kinetic energy of the ejected electrons if the metal is illuminated by light with a wavelength of 450 nm? (Ans: 0.28 eV)

5. When 350 nm light falls on a metal, the maximum kinetic energy of the ejected electrons is 1.20 eV. What is the work function of the metal? (Ans: 2.35 eV)

6. Light of frequency 8.0 x 10¹⁴ Hz illuminates a surface whose work function is 1.2 eV. If the retarding potential is 1.0V, what is the maximum velocity with which an electron reaches the plate? (Ans: 6.3 x 10 ⁵ m/s)