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In the text I claimed that the universe was filled with ionized gas until its temperature cooled to about 3000 K. To see why, assume that the universe contains only photons and hydrogen atoms, with a constant ratio of 109 photons per hydrogen atom. Calculate and plot the fraction of atoms that were ionized as a function of temperature, for temperatures between 0 and 6000 K. How does the result change if the ratio of photons to atoms is 108 , or 101O? (Hint: Write everything in terms of dimensionless variables such as t kT/ I, where I is the ionization energy of hydrogen. )
In the figure, block 1 has mass m1 = 470 g, block 2 has mass m2 = 510 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.6 cm. When released from rest, block 2 falls 78 cm in 4.6 s without the cord slipping on the pulley. ..
An artillery gun is firing a shell with the initial velocity V0 =250 m/s at an angle 1 =60o to the horizontal. Find the time interval t between shots
When 16.8 J was added as heat to a particular ideal gas, the volume of the gas changed from 42 cm3 to 87 cm3 while the pressure remained constant at 1.3 atm. (a) By how much did the internal energy of the gas change
Two lenses, the first by focal length 10.0 cm and the second with focal length -12.5 cm, are separated by 20.0 cm. An object, 2.40 cm tall, is 15.0 cm in front of the first lens. What is the size of the final image?
A cart of mass 320 gram is located on a frictionless horizontal air track. Determine the period at which it oscillates
A box of negligible mass rests at the left end of a 2.06-m, 26.5-kg plank (seefigure). The width of the box is w = 68.9 cm, and sand is to be distributed uniformly throughout it. The center of gravity of the nonuniformplank is x = 47.0 cmfrom the ..
Billy throws a ball straight up and it rises 22 meters into the sky. With what initial velocity must he have thrown the ball
A parallel-plate capacitor with plates of area 600 cm2 is charged to a potential difference V and is then disconnected from the voltage source. What is the charge Q on the positive plate of the capacitor
Light rays in a material with index of refrection 1.29 can undergo total internal reflection when they strike the interface with another material at a critical angle of incidence
Once a traffic light turns green, a car speeds up from rest to 50 mi/h with constant acceleration 9 mi/h • s. In the adjoining bike lane, a cyclist speeds up from rest to 20mi/h with constant acceleration 13mi/h.
A 64.0 kilogram man stands on a lightweight diving board supported by two pillars, one at the end of the board, Evaluate the magnitude of the force exerted by the second pillar
Light enters a substance from air at 30 degrees to thenormal. It continues through the substance at 23 degrees tothe normal. What would be the critical angle for this substance
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