Find the state with Sn = li of a spin-1 particle, where n =sin() i +cos() k, by rotating a state with Sz = li by angle () counterclockwise about the y axis using the rotation operator R(()j) = e-i'5'yEJ /h. Suggestion: Use the matrix representation (3.104) for Sy in the Sz basis and expand the rotation operator in a Taylor series. Work out the matrices through the one representing s; in order to see the pattern and show that 1 +cos() sin() 1- cos() 2 h 2 R(ej) + sin () sin () h cos() S2 basis h 1- cos() sin () 1 +cos() 2 h

The speed of sound in ice, water, and steam is shown. what best explains the speed of sound in different states of matter? sound travels fastest in ice because energy is easier to transfer when the molecules are close together. sound travels slowest in steam because the sound has to move around the gas molecules that are far apart. sound travels fastest in ice because the temperature of solids is always greater, so the heat transfers the sound energy. sound travels slowest in steam because the pressure is so great the sound cannot travel though the steam particles.

The reason a penny thrown straight up inside a bus will come back to your hand is that you, the bus, the air inside the bus, and the penny are all moving at the same velocity. true or false

Which temperature scale measures water boiling at 100 degrees? which temperature scale measures water boiling at 100 degrees?