A beam of spin-1/2 particles in the |+z) state enters a uniform magnetic field Bq in the x-z plane oriented at an angle theta with respect to the z axis. At time T later, the particles enter an SGy device. What is the probability the particles will be found with S_y - fi/2? Check your result by evaluating the special cases theta=0 and theta = pi/2.

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explanation:

r=rho l/a where a is the area, l is the length and rho is resistivity so the greater the area the lesser the resistance thats why the earth pin is thicker bcos current follow the shortest path, so less resistive .

d. air pressure decreases as altitude increases.

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )