Conversion of Units: A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 108 m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)
A. 2.87 × 1013 mi
B. 9.46 × 1015 mi
C. 5.88 × 1015 mi
D. 9.46 × 1012 mi
E. 5.88 × 1012 mi
Answer: E
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The dynamic random access memory (DRAM) in computers is produced by oxidizing a silicon wafer to produce a capacitor with SiO2 as the dielectric, and the memory corresponds to the charge stored on the capacitor. Assume that the thickness of the dielectric is 1×10-6 m, the plates of the capacitor are square with an edge length of 10×10-6 m, the dielectric constant or relative permeability of SiO2 is 4, and the applied voltage is 10 V.
(a) What is the capacitance? (b) What total charge is stored in this capacitor? (c) What is the charge density on the capacitor plates? (d) What is the polarization of the SiO2 in the capacitor?
How does the best possible angular resolution of a telescope with a 10-meter diameter mirror compare to that of a telescope with a 5-meter diameter mirror?
A) The 10-meter telescope's angular resolution is better by a factor of 2. B) The 10-meter telescope's angular resolution is better by a factor of 4. C) The 10-meter telescope's angular resolution is better by a factor of 10.
Suppose that in a parallel universe, the proton and electron were identical to their counterparts in our own universe EXCEPT that the electron had twice as much charge as our electron. In our present universe,
the radius of the first Bohr orbit for hydrogen is a0 and the speed of an electron in that orbit is v0. In the parallel universe (a) what would be the radius (in terms of a0 ) of the first Bohr orbit for hydrogen? (b) what would be the speed (in terms of v0 ) of an electron in the first Bohr orbit for hydrogen?
A block on the end of a horizontal spring is pulled from equilibrium at x = 0 to x = A and released. Through what total distance does it travel in one full cycle of its motion?
1. A/2 2. A 3. 2A 4. 4A