Calcite (CaCO_3) is a crystal with abnormally large birefringence. The index of refraction for light with electric field parallel to the optical axis (called extraordinary waves or e-waves) is 1.4864. The index of refraction for light with electric field perpendicular to the optical axis (called ordinary waves or o-waves) is 1.6584.A) Find the critical angle theta_ce for e-waves in calcite. This was 42.28 degrees. B) Find the critical angle theta_co for o-waves in calcite.

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?