Acompass originally points north; at this location the horizontal component of the earth's magnetic field has a magnitude of 3.6 ✕ 10−5 t. a bar magnet is aligned east–west, pointing at the center of the compass. when the center of the magnet is 0.38 m from the center of the compass, the compass deflects 64°. what is the magnetic dipole moment of the bar magnet? (enter the magnitude.)

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.)