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Q1. A scuba tank is filled with air to a pressure of 292 atm when the air temperature is 23 degrees celcius. A diver next jump into the ocean and, after a short time treading water on the ocean surface, checks the tank's pressure and finds that it is only 282 atm. assuming the diver has inhaled a negligible amount of air from the tank, what is the temperature of the ocean water?
Q2. Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string that is clamped at each end. Excluding the nodes at the ends of the string, how various nodes appear in the resulting standing wave?
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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