Solve the all given parts of following problem:

Problem: A very narrow beam of white light is incident at 47.40° onto the top surface of a rectangular block of flint glass 11.9 cm thick. The indices of refraction of the glass for red and violet light are 1.649 and 1.686, respectively.

Part A: Calculate the dispersion angle (i.e., the difference between the directions of red and violet light within the glass block).

Part B: How wide is the beam when it reaches the bottom of the block, as measured along the bottom surface of the block? When the rainbow-colored beam emerges from the bottom of the block, the exiting rays of light are once again parallel.

Part C: Calculate the distance between the exiting red and violet rays (i.e., the thickness of the rainbow).

Please show work on how to solve above problem!