Consider a particle of mass m in an infinite one-dimensional well of width d. the particle is in the lowest energy state (a) what is the energy of this state? (b) the width of the well is slowly (adiabatically) increased to 2d. what is the new expectation value of energy (c) if, conversely, the width of the well is increased to 2d rapidly (suddenly), (i) what is the new expectation value of energy? i) what is the probability for the particle to remain in the ground state?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)