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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 diver can reduce her moment of inertia by a factor of 3.5 when changing from a straight position to the tuck position. find her angular speed when in the straight position
The protein ?-lactalbumin (molecular weight = 14,000) has been studied under different solution conditions by dynamic light scattering. At pH 7 and 40°C in a dilute solution the diffusion coefficient was found to be 14.25×10-7 cm2/s.
A 60kg block slides along the top of a 100kg block with an acceleration of 2.0m/s^2 when a horizontal force of 350N is applied. Find the coefficient of kinetic friction between the blocks
A meter stick moving in a direction parallel to its length appears to be only 40cm long to an observer. what is the meter stick's speed relative to the observer
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
A certain airplane has a speed of 250.0 km/h and is diving at an angle of 30.0° below the horizontal when the pilot releases a radar decoy. The horizontal distance between the release point and the point where the decoy strikes the ground is 700 m..
A current of 32.9 mA flows in a silver wire of diameter 4.01 mm, Find the electric field strength inside the wire
When a single person shouts at a football game, the sound intensity level at the center of the field is 59.9dB. how many people are at the game
A speeder is pulling directly away and increasing his distance from a police car that is moving at 27 m/s with respect to the ground. Find the speeder's speed with respect to the ground
In lab you find that a 1-kg rocksuspended above water wights 10 N. when the rock issuspended beneath the surface of the water , the scale reads8N.
Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.03 Earth years in its circular orbit around its sun, Find the radius of the exoplanet's orbit in meters
A 2590-kg spacecraft is in a circular orbit 2720 km above the surface of Mars. How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4480 km above the surface
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