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1. In the n = 3 state, the probability density function for a particle in a box is zero at two positions between the walls of the box. How then can the particle ever move across these positions?
2. Explain in simplest terms the relation between the zero-point energy and the uncertainty principle.
3. Would you expect the zero-point energy to have much effect on the heat capacity of matter at very low temperatures? Justify your answer.
Consider a cylindrical space station of 640-m diameter as it rotates about its axis. Astronauts walk on the inside surface of the space station. What rotation period will provide an Earth-like gravity?
A particle moves in an elliptical path given by the equation r = bcos(omega)ti + 2bsin(omega)tj . Discover the angle between the acceleration vector and the velocity vector at time t = p/(4(omega)).
Earth has an equatorial radius of approximately 6380 km, and it rotates 360 degrees every 24h. What is the angular displacement of a person standing at the equator for 3.0h
A circuit is constructed as shown to the right. The light bulbs have resistance of 5.0 Ω and the resistors are 10.0 Ω. The battery is 15.0 Ω. Rank the brightness of the bulbs A, B, X, Y, and Z from brightest to dentist.
A sphere that is a perfect blackbody radiator has a radius of 0.100 m, Calculate the net rate at which the sphere radiates energy
The distant moon imaginarius has half the diameter of the earth. The free-fall acceleration on the imaginarius is a= 4 m/s^2. What is the ratio of the average mass density of imaginarius to that of earth, Q= p (imaginarius) / p (earth)?
A portion of a soap bubble appears green ( wavelength = 500 nm invacuum) when viewed at normal incidence in white light. find the two smallest, non-zero thickness for the soap film
A pencil, 15.7 cm long, is released from a vertical position with the eraser end resting on a table. What is the angular speed of the pencil
Design a circuit that will store data from four binary sensors (presenting either a high or low value) when an enable pulse from a digital source first goes high. Assume that the enable input is normally low and the pulse is high for 1 sec.
If the piston has a cross sectional area of 0.0100 m^2 and negligible mass, how high would it rise when the temperature is raised to 250°C.
The diameter of the He atom is approximately 0.10nm. Compute the density of the He atom in (assuming that it is a sphere).
A long horizontal wire carries a current of I1 = 11.5 A. A second wire, made of 0.400 mm diameter copper wire, is 81.0 cm below the first wire and is held in suspension magnetically. What is the magnitude and direction of the current in the bottom..
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