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Question1
Submarine (when at rest underwater) uses a sonar device that sends 20 kHz sound pulses downward from bottom of it. It detects two echoes; one coming from another submarine that is directly underneath and moving in the upward direction at a speed vs and other coming from ocean ground. If the detected beat frequency is 400 Hz, find the speed of the approaching submarine in km/h. Take the speed of radar waves in sea water as 980 m/s.
Question2
If the inner and outer radii of groove on an LP are 10 cm and 5 cm, what is the linear speed of the phonograph needle at the beginning and at end of play, respectively? (A standard LP rotates at the speed of 33.3333 rev/min.)
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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