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Laser cooling is a modern technique to cool atoms to extremely low temperature. The key point is to tune the laser frequency slightly lower than the nominal frequency of an electronic transition in the atom. Derive the Doppler shift using Lorentz transformation in one dimension (8%). Prom the above derivation, explain why the atom can absorb the laser light (2%). Describe the phenomenon of spontaneous emission (3%). Explicitly show that after the spontaneous emission, the atom is cooled in the Lab frame (10%). What is the condition that the atom can keep its original energy (2%)?
A golf ball of mass 0.045 kg is hit off the tee at a speed of 36m/s . The golf club was in contact with the ball for 3.90×10?3s. Find the average force exerted on the ball by the golf club
A horizontal wire of length 0.50 m, carrying a current of 6.7 A, is placed in a uniform external magnetic field. When the wire is horizontal, Determine the magnitude of the external magnetic field
A heat engine operates in a Carnot cycle between 82.0°C and 345°C. It absorbs 20,000 J of energy per cycle from the hot reservoir, What is the mechanical power output of this engine
Two small plastic spheres, one charged to -25 nC and the other to +25 nC , are connected by a 28-mm-long insulating rod. What is the maximum possible torque on the dipole
Johnie wants to go sailing, but their is no wind. Johnie mounts an Industrial Fan on his sail boat with a 40 N force. What is the speed of the boat
An object is thrown upwards with a speed of 13 m/s. How long does it take to reach a height of 4.0 m above the projection point while descending?
What is the effect of thermal insulation on cooling
After a completely inelastic collision between two objects of equal mass, each having initial speed v, the two move off together with speed v/3. What was the angle between their initial directions
When a golfer tees off, the head of her golf club which has a mass of 280 g is traveling 58 m/s just before it strikes a 46-g golf ball at rest on a tee. determine the speed of the golf ball just after impact
Calculate the height of the potential barrier for a head on collision of 2 deutrons. Assume that they can be taken as hard spheres of radii 2fm.
A toy train is pushed forward and released at = 2.0 with a speed of 1.5 . It rolls at a steady speed for 2.8 , then one wheel begins to stick. The train comes to a stop 5.6 from the point at which it was released. Elucidate the train's accelera..
In an experiment, 300 g of aluminum (with a specific heat of 900 J/kg·K) at 100°C is mixed with 54.0 g of water (4186 J/kg·K) at 20°C, What is the entropy change of the aluminum-water system
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