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

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

the only real purpose of sputnik 1 was to beat the us into space. we were getting close to launching a useful satellite, explorer 1 - which launched on january 31, 1958. the ussr had to beat that, so they launched sputnik 1 on october 4, 19