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A He-Ne laser cavity has a cylindrical geometry with length 30cm and diameter 0:5cm. The laser transition is at 633nm, with a frequency width of 10nm. (a) Determine the number of modes in the laser cavity that are within the laser transition linewidth. (b) A power meter is then placed at the cavity output coupler for 1 minute. The reading is constant at 1mW. Determine the average number of photons per cavity mode.
A swimmer swims in still water at a speed of 7.44 m/s. He intends to swim directly across a river that has a downstream current of 2.76 m/s. What is the velocity relative to the bank
The two cylinders both have a radius of 1mm. Material 1 has a conductivity of 1.2 x10^4 S/m and material 2 has a conductivity of 1.4 x 10^4 S/m. Piece 1 is 6cm long and piece 2 is 8cm long.
The capacitance of a cylindrical capacitor can be increased by:
A Carnot engine uses reservoirs at temperatures of 27.0°C and 327°C. In one cycle, it uses 600 J of heat from the high temperature reservoir
A 1 025-kg satellite orbits the Earth at a constant altitude of 98-km. What is the change in the system's potential energy
In January from Indiana, Andromeda is high in the sky at 6pm local time. (Note that local time is about 40 minutes later than Eastern Standard Time, because Indiana is on the far western end of the time zone. The sun is at its highest point in the..
Derive Lagrange's equation of motion for a uniform thin dizk that rolls without slipping on a horizontal plane under the influence of a horizontal force applied at its center. Determine the generalized force.
The average depth of oceans is about 4km, the oceans cover abou 70% of earths suface. Make an order of nagnitude estimate of the waters volune in he ocean.
The North Star (Polaris) is a distance 431 ly away and radiates energy in the form of light at a rate of 8.6 x 1029 W. What is the intensity of this light at the Earth
The magnetic field of an electromagnetic wave in a vacuum is Bz = ( 3.5 muT) sin ( 1.6×10^7 x - 2pi f t) , What is the wave's electric field amplitude
A point-like mass m=0.5 kg is attached to the rim of a uniform disk of moment of inertia I=0.05kg m^2 and radius a=0.25m. Find the initial angular acceleration and the maximum angular speed
A long hollow cylinder has an inside radius a, an outside radius band is uniformly charged with a uniform charge density ρ. What is the electric field as a function of radius r? Includeanswers for r b.
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