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1. A room of ceiling height h, with a rectangular floor of dimensions w and l is measured to have a reverberation time of 0.80s. In this room the walls have effectively no absorption at all and the ceiling and floor have an absorption coefficient of 0.9. If h is doubled, what is the new reverberation time (in s)?
2. You walk into a quiet room with a volume V and, standing near the center, you clap your hands loudly. You carefully listen and you can hear the sound for about 1.3 seconds. Approximately what is the reverberation time for that room (in s)?
3. You enter an empty room of volume V which has been characterized as having a total of 600 Sabins and a reverberation time 20s. If now a crowd of 200 adults enters the room adding 4.5 Sabins each, what would be the new reverberation time (in seconds)?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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