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Q. A pipe open only at one end has a fundamental frequency of 282Hz. A second pipe, initially identical to first pipe, is shortened by cutting off a portion of the open end. At the present, when both pipes vibrate at their fundamental frequencies, a beat frequency of 15 Hz is heard. How various centimetres were cut off the end of the second pipe? The speed of sound is 343 m/s.
Q. Two containers are at same temperature. The first contains gas with pressure p1, molecular mass m1, and root-mean-square speed vrms1. The second contains gas with pressure p2, molecular mass m2, and average speed vavg2. Find out the mass ratio m1/m2 in terms of the variables given.
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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