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A particle is confined to the one-dimensional space 0 ≤ x ≤ a , and classically it can be in any small interval dx with equal probability. However, quantum mechanics gives the result that the probability distribution is proportional to sin 2 ( nπ x/a ), where n is an integer. Find the variance in the particle's position in both the classical and quantum mechanical pictures, and show that, although they differ, the latter tends to the former in the limit of large n , in agreement with the correspondence principle of physics.
Atomic physicists usually ignore the effect of gravity within an atom. To see why, we may calculate and compare the magnitude of the ratio of the electrical force, What is the magnitude of the electrical force
A ball is dropped to the ground from a height of 2m. Thecoefficient of restitution is .6.To what height will the ball rebound
De-orbit maneuvers are done to lower the perigee of the orbit to 60miles (or less). Calculate the minimum change in velocity (delta V)required for the Space Shuttle to decrease its altitude to 60 milesif its orbiting with an apogee of 236 miles an..
A 47 kg skier starts from rest at height H = 19 m above the end of a ski-jump ramp as shown. as theskier leaves the ramp, his velocity makes an angle theta= 29 above the horizontal. neglect air resistance and friction. calculate the speed of the s..
On a hot summer day, the temperature of air in Arizona reaches 113°F. Find what is the speed of sound in air at this temperature
a a 3 microcoulomb charge is at the coordinates 34 mm. a -4 microcoulomb charge is at the coordinates -25mm. what is
A 10 kg door that is 1.0m wide and 2.5m tall is supported by two hinges,each of which is 10 cm from the top(or bottom)of the door. what is the force on each hinge
A 57.4-kg skateboarder starts out with a speed of 2.04 m/s. He does 104 J of work on himself by pushing with his feet against the ground. How much has the vertical height of the skater changed
What happens to the resistance of copper wire after dunking it in liquid nitrogen? and what happens to the resistance of a carbon resistor when you dunk it in liquid nitrogen.
A broad beam of light of wavelength 485nm is incident at 90° on a thin, wedge-shaped film with index of refraction 1.50. An observer intercepting the light transmitted by the film sees 17 bright and 16 dark fringes along the length of the film. By..
An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 70.0 km/h is blowing toward the south. What is the speed of the plane over the ground
A 1.6 kg block on a horizontal frictionless surface is attached to an ideal mass less spring whose spring constant is 190 N/m. What is the velocity of the block at time t=.40 s
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