Question

1.A spherical bowl(R = 20 cm) contains water(n = 1.33) and your pet gold fish who, is swimming 15 cm from the centre of the bowl. You however are 35.0 cm from the edge of
the bowl-outside, of course. Describe the image your fish sees.

2.The hydrogen atom consists of a proton with an electron in orbit about the proton. The laws of quantum mechanics determine that the radius of this orbit is 5.29x10^-11 meters. Therefore, calculate
a) The electric potential the electron experiences.
b) The next available orbit has a radius four(4) times that of the orbit described above
c) When an electron goes from the higher energy orbit to lower energy orbit, it releases the change in energy as photon. What is the wavelength of the emitted photon.

Answer 1

1. Use the formula for refraction at a spherical surface, where the index of refraction changes from 1.33 to 1.

The formula can be found at
http://www.physnet.org/modules/pdf_modules/m222.pdf