Aone-dimensional particle of mass m is confined within the region
0 ≤ x ≤ a and wave function ψ(x, t) = sin( πx a )e −iωt .
a by substituting the wave function ψ(x, t) into the time-dependent schr¨odinger equation show that v is independent of t.
b calculate the probability of finding the particle in the interval a 4 ≤ x ≤ 3a 4 .

Translation can be considered to have three phases or steps: initiation, protein synthesis, and termination. give a detailed summary of the factors and molecules involved with each step and, where appropriate, compare/contrast the differences between prokaryotic and eukaryotic translation.

Air conditioners not only cool air, but dry it as well. suppose that a room in a home measures 5.0m×9.0m×2.4m . if the outdoor temperature is 30 ∘c and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? the vapor pressure for water at 30 ∘c is 31.8 torr.

An electron moving at 5.06 103 m/s in a 1.23 t magnetic field experiences a magnetic force of 1.40 10-16 n. what angle does the velocity of the electron make with the magnetic field? there are two answers between 0° and 180°. (enter your answers from smallest to largest.)