In vacuum, the wavelength of the red light in your laser pointer is \(680 \mathrm{~nm}\). Standing at the shore of a calm pond, you shine the laser beam onto the water surface at an angle of \(45^{\circ}\) from the normal to the surface. If the index of refraction for the water is \(n=1.333\), how do each of the following properties of the light change as the light enters the water:

(a) wavelength,

(b) frequency,

(c) speed, 

(d) direction of propagation?

(e) If you shine the beam onto the surface along the normal, do any of your answers change and, if so, how?