Sketch the following functions. State whether each one could be a possible (acceptable) wave functions? Explain why or why not. If the wave function is valid, is it normalized?(a)휓(푥)=푥&,−[infinit y]<푥<[infinity](b)휓(푥)=+푥,푥≥퐿 퐿−1,푥<퐿(c)휓(푥)=푒12,0≤푥<[infin ity](d)휓(푥)=−|푥−1|+1,0≤푥≤2

In a system, when potential energy decreases, then entropy also decreases. true false

Abumper car with a mass of 250 kg is traveling at a speed of 4 m/s. this bumper car collides and sticks to a second bumper car with a mass of 250 kg, which is initially at rest. what is the final speed of these two bumper cars after the collision, assuming they remain stuck together?

12. ritu obtained a distinct image of a distant tree on the screen with the of a concave mirror.to find the focal length of the mirror she has to measure the distance between: (a) mirror and the tree. (b) screen and the tree.(c) mirror and the screen. (d) mirror and tree as well as between screen and the tree.