Quantum Mechanics Answers

An electron has de broglie wavelength equal to that of a photon. Show that the ratio of the kinetic energy of the electron to the energy of the photon is (m2c4+h2v2)1/2-mc2/hv

What are the essential conditions for a wave function defining a system must obey and why?

David hits a volleyball at vi=9.0 meters per second it starts at 1.8 meters. How long will it take to hit the floor?

Calculate the mass of the sun, assuming the Earth's orbit around the sun is circular, with radius r = 1.5x10 raise to power 8 km.

A 20kg block on an inclined plane is pulled up the plane with rope tied o the block. The rope is at an angle of 37 degrees above the surface of the plane. The tension in the rope is 250N and the frictional force on the block is 8.0N. What is the acceleration of the block?

A 15kg block rests on the surface of a plane inclined at an angle of 30 degrees to the horizontal. A light inextensible string passing over a small, smooth pulley at the top of the plane connects the block to another 13kg block hanging freely. The coefficient of kinetic friction between the 15kg block and the plane is 0.25. Find the acceleration of the blocks.

A synchronous satellite circles the earth eastward above the equator once every 24hour and stays over the same spot on the earth because the earth is rotating at the same rate. What is the orbital radius and the velocity of the synchronous satellite?

A stone thrown from ground level returns to the same level 4 seconds after. With what speed was the stone thrown? Take g=10m/s2

Consider a quantum particle confined in a well of width a. If the particle is in its ground
state calculate the quantity DxDp where ( ) 2 2 2
Dx = x − x and ( ) . 2 2 2
Dp = p − p

Obtain the expectation value of the potential energy 2 2
2
1
V (x) = mw x of the onedimensional
harmonic oscillator in the first excited state
/ 2
1/ 2
1
2 2
2
( ) 2 a x ax e
a
x −




 

p
y