For an 1-d harmonic oscillator whose hamiltonian is h- 2m if two given by hln> = hwo (n+ )ln > ., eigenvalues and eigenstates are 1 > +12> 1 2> v2 eigenstates of operator a an are alod> = az 16> where a lof> = a, l6 (20) , what's the probability to measure energy 1) if the state at t=0 is 0 ei at time t (> 0)? (10) 2) for lo> ,0 = lø4> , what's the probability to measure a at time t?

At an oceanside nuclear power plant, seawater is used as part of the cooling system. this raises the temperature of the water that is discharged back into the ocean. the amount that the water temperature is raised has a uniform distribution over the interval from 10° to 25° c. what is the standard deviation of the temperature increase?

Two 1.20-m nonconducting wires meet at a right angle. one segment carries + 2.50 µc of charge distributed uniformly along its length, and the other carries - 2.50 µc distributed uniformly along it, as shown in fig. 21.50. ( a. find the magnitude and direction of the electric field these wires produce at point p, which is 60.0 cm from each wire. ( b. if an electron is released at p, what are the magnitude and direction of the net force that these wires exert on it?

Two balls, each with a mass of 0.5 kg, collide on a pool table. is the law of conservation of momentum satisfied in the collision? explain why or why not