Please help with explanation to solutions for problems below:

1. Calculate the momentum of a photon whose wavelength is 500nm

(Ans: 1.33 x 10^-27 kg m/s)

2. What is the momentum of a photon with a frequency of 4.5 x 10¹⁵ Hz?

(Ans: 9.9 x 10^-27 kg m/s)

3. What is the momentum of a 150 eV photon? (Ans: 8.00 x 10^-26 kg m/s)

4. Calculate the wavelength of a photon having the same momentum as an electron moving at 1.0 x 10⁶ m/s. (Ans: 0.73 nm)

5. What is the minimum frequency of the light required to eject photoelectrons from a metallic surface whose work function is 7.2 x 10^-19 J? (Ans: 1.1 x 10¹⁵ Hz)

6. Light with a wavelength of 600 nm strikes a metal having a work function of 2.3 x 10^-19 J. Calculate the maximum kinetic energy, in joules, of the emitted electrons and the voltage required to stop them. (Ans: 1.0 x 10^-19J, -0.64V)

7. What is the momentum of a 410 nm photon of violet light? (Ans: 1.62 x 10^-27 kg m/s)

8. What is the associated de Broglie wavelength of

a. a neutron (m = 1.67 x 10^-27 kg) travelling at 1.5 x 10⁴ m/s? (Ans: 2.6 x 10^-11 m)

b. an electron (m = 9.11 x 10^-31 kg) travelling at 1.2 x 10⁶ m/s? (Ans: 6.1 x 10^-10 m)