Consider the following three (candidate) state vectors: a) normalize each of the above states (following our convention that the coefficient of the +> basis ket is always positive and real.) b) for each ofthese three states, find the probability that the spin component will be "up" along the z-direction. use bra-ket notation in your calculations! c) for just the second state, 2〉, find the probability that the spin component will be "up" along the x-direction. use bra-ket notation in your calculations. (hint: you will need mclntyre 1.33 for this one. you will need mclntyre 1.60 for the next d) for just state iva〉, find the probability that the spin component will be "up" along the y-direction. use braket notation in your calculations. be careful, there is some slightly nasty complex-number arithmetic required on this one that is very important, and frequently people make mistakes on it that turn out to really change the answer significantly!

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

a) electrical > light, sound, and thermal< < < <

) the mechanical energy of the firefighter moving.< < < < a) electrical > light, sound, and thermal< < < <

c) both a and b.

i don't understand. explain it clearly