Caculate the expectation value (r) for an electron in the ground state of the hydrogen atom. remember, the maximum of the radial ground state wavefunction, i'mar, is equal of the bohr radius. is the expectation value (r) larger, equal or smaller than i mar? give a brief explanation. b) (10 pts] using the expectation value (r )nim = 1/(aon) and the energy values for an electron in a bound state (nlm) of the hydrogen atom, show that the expectation values of the kinetic energy operator t and of the potential energy v are such that: 2(t)nim = -(v)nlm

Acar is traveling at 53.0 mi/h on a horizontal highway. (a) if the coefficient of static friction between road and tires on a rainy day is 0.104, what is the minimum distance in which the car will stop?

Anne applies a force on a toy car and makes it move forward. what can be said about the forces acting on the toy car at the moment anne applies the force?

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.