(Solved): Question 2: The second way to describe the propagation of light is using waves. Before we get into ...

Question 2: The second way to describe the propagation of light is using waves. Before we get into light waves let us review the general key features of waves. The above picture represents a bird bobbing up and down on a wave an outlines several of the key characteristics about a wave that you will need to be familiar with: - Wavelength: the horizontal distance between peaks on a wave represented by lambda \( \lambda \) - Amplitude: The vertical distance between the midpoint of the wave and the peak represented by A - The wave speed, how quickly the peak of the wave travels horizontally. Not represented visually but a fourth characteristic to know is the "Period" represented by the letter T. The period of the wave is how long it takes for the wave to complete one whole cycle. In other words how long doe it take for the bird to undergo one complete up and down cycle as the wave passes by. (a) If the bird in the above image bobs up and down 8 times in 6 seconds what is the period of the wave? (b) The period of the wave, the wavelength, and wave speed are all related to each other by the equation: \[ v=\lambda / T \] If you measure the above wavelength to be \( 0.9 \mathrm{~m} \) long than using the information from part (a) calculate the speed of the wave. (c) Waves on a swimming pool propagate at \( 0.75 \mathrm{~m} / \mathrm{s} \). You splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in \( 30.00 \mathrm{~s} \). How far away is the other end of the pool? (d) How many times a minute does a boat bob up and down on ocean waves that have a wavelength of \( 40.0 \mathrm{~m} \) and a propagation speed of \( 5.00 \mathrm{~m} / \mathrm{s} \) ?