Suppose you take a short piece of wire that is not attached to anything and move it up and down in a
magnetic field. Explain whether or not a current will be
induced, and why.

sample response: a current will not be induced because the wire is not part of the closed circuit. the electrical charges have no place to flow to

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)