4) (a) A 1-D infinite potential well of width a contains two spinless particles, each of mass m. The potential representing the interaction between the particles V = a8(x1 = x2). Calculate the ground state energy of the system corrected to first order in A.
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- Q1: A hollow steel tube with an inside diameter of 80 mm must carry an axial tensile load of 330 kN. Determine the smallest allowable outside diameter of the tube if the working stress is 110 MN/m? Q2: The 20-mm-diameter bolt fastens two wooden planks together.. Find the smallest thickness of each plankes if the working bearing stress for wood is 13 MPa.Air at 30 oC flowing over a flat plate 10 points 0.5 m long and 0.6 m wide, is to be maintained at 70 oC . Determine the velocity of air which must flow over a side of 0.5m. The rate of energy dissipation from the plate is 3 KW.2.897 lb air is at 1 atm, 360 °R in a vertical piston-cylinder assembly. The air is compressed to state 2 at 111.6 atm, and 250.95 °R, and obeys the polytropic rule (pvn = constant). During the process, 170 Btu releases from the process in the form of heat transfer. Determine: The specific volume of the air at state 1 and state 2 in The work of the process in Btu. The specific internal energy of the air at state 2 in Btu/lb If the area of the piston is 5 in.2 and the mass of the piston is negligible, compute the force that exerts on the piston to maintain the pressure at state 2. Given that the atmospheric pressure is 1 atm.
- A spontaneous exothermic reaction at a constant temperature and pressure of 50∘C and 2.0 atm has an enthalpy decrease of 350 kJ. This reaction performs 150 kJ of useful work, which is 54% of the maximum work that could be done. What is the reaction’s change of entropy? Express your answer to two significant figures and include the appropriate units.A ball is thrown from the top of one building toward a tall building 50 ft away. The initial velocity of the ball is 20 ft/s at 400 above the horizontal. How far above or below its original level will the ball strike the opposite wall?A baseball is hit such that it travels straight upward after being struck by the bat. A fan observes that it requires 3.00 s for the ball to reach its maximum height. Find (a) its initial velocity and (b) its maximum height. Ignore the effects of air resistance.
- We wish to coat a glass surface with an appropriate dielectric layer to provide total transmission from air to the glass at a free-space wavelength of 570 nm. The glass has refractive index n3 = 1.45. Determine the required index for the coating and its minimum thickness(b) A 15 HP, 240 V, 1150 rpm shunt motor draws 55 A when operating at rated conditions. The resistance of shunt field winding is 109.1 Q and the resistance of armature is 0.364 Q. Determine the no- load speed, assuming the total loss at no-load is 970.6 W.Q.5/ How to change the frequency of oscillation of the following circuit to 10kHz?
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