For a spin 1/2 system in a state that is expressed in terms of the base kets of the sz operator. construct the unitary operator u for the basis transformation from the sz basis to the (sz + sy)/sqrt(2) basis. write your answer as an operator and the matrix representing the operator in the sz basis. check your result by transforming the |sx; +> ket from the sz basis to this new basis. what should you expect the result will look like?

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.