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Q. Two strings have different lengths and linear densities. They are joined together and stretched so that the tension in each string is 205 N. The free ends of the joined string are fixed in place. Find the lowest frequency that permits standing waves in both strings with a node at the junction. The standing wave pattern in each string may have a different number of loops.
Q. A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.0 cm, and the outer sphere has radius 16.5 cm. A potential difference of 110 V is applied to the capacitor. What is the energy density at r = 12.1 cm, just outside the inner sphere?
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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