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Determine whether the ground state function for the hydrogen atom is an eigenfunction of each of the following operators (prove mathematically):
a) kinetic energy operator for H atom
b) potential energy operator for H atom
c) Hamiltonian operator for H atom
What minimum force requires for door to hold it open
A car dealer claims that his product would accelerate at a constant rate from rest to a speed of 200 km/hr in 8s. What approximate distance will the car travel.
The car has just achieved double its initial velocity when the driver spots a police officer behind him and applies the brakes. The car then slows down, coming to rest at the stoplight ahead.
A light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m1, a 3.4 kg block, originally at rest on the horizontal table at a height 1.27m above the floor, to m2, a hanging ..
A 12- V battery causes a current of 0.40A through a resistor. A) what is its resistance B) how may joules of energy does the battery lose in minutes.
A bat in a cave emits a sound pulse and receives an echo 0.22 second later. Assuming that the speed of sound is 339 m/s, how far did the sound (the longitudinal wave) travel during this time.
A disc of mass M and radius R is rolling purely without slipping with velocity V on a flat horizontal floor. When it hits a step in the floor of height R/2.what is the velocity of the center of mass of the disc just after impact.
At a distance of 4.32m from a siren, the sound intensity is 3.75 x 10-2 W/m2. Assume that the siren radiates sound uniformly in all directions; find out the total power radiated.
An autographed baseball rolls off a 0.64m high desk and strikes the floor 0.61 m away from the desk. How fast was it rolling on the desk before it fell off? The acceleration of gravity is 9.80 m/s^2.
What is the shortest height a plane mirror must be so that a person who is 1.6 meters tall is able to see his or her whole body? plan a ray diagram to support your answer.
Discover the horizontal and vertical displacement
A spacecraft is traveling with a velocity of v0x = 4330 m/s along the +x direction. Two engines are turned on for a time of 728 s. One engine gives the spacecraft an acceleration in the +x direction of ax = 1.74 m/s2.
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