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1. Tube A, in a 20°C room, is observed to support standingwaves at frequencies of 48 Hz, 60 Hz and 72 Hz, but not at anyfrequencies in between (but possibly at higher and lower frequencies). Meanwhile tube B, which is the same length, supports standing waves at frequencies of 42 Hz, 54 Hz and 66 Hz.
a) Is tube A an open-open tube or an open-closed tube? What abouttube B? b) What are the fundamental frequencies of these tubes? c)How long are these tubes?
2. Draw the interference pattern (pattern of fronts, nodal curvesand antinodal curves) that occurs when two sources in phase a are separated by a distance of 2.5 times the wavelength. This is bestdone on graph paper. Be sure to clearly label each antinodal curvewith the value of path length difference everywhere on the curve.
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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