Which one of the following is the correct expression for the Heisenberg uncertainty principle?

A)

?py ?y ? h/2?
B)

? py ?y ? h/2?
C)

? py /?y ? h/2?
D)

?y/? py ? h/2?
E)

None of the other answers is correct.


A

Physics & Space Science

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Briefly explain how dark matter affects the expansion rate of the universe and the significance of the term critical density in the absence of any mysterious repulsive force

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A spherical satellite circling the sun is to be maintained at a temperature of 25°C. The satellite rotates continuously and is covered partly with solar cells having a gray surface with an absorptivity of 0.1. The rest of the sphere is to be covered by a special coating which has an absorptivity of 0.8 for solar radiation and an emissivity of 0.2 for the emitted radiation. Estimate the portion of the surface of the sphere which can be covered by solar cells. The solar irradiation may be assumed to be 1,420 W/m2 of surface perpendicular to the rays of the sun.

GIVEN
- A spherical satellite partially covered with solar cells is orbiting the sun
- Satellite temperature (Ts) = 25°C = 298 K
- Solar cell absorptivity (?c) = 0.1
- Absorptivity of the rest of the satellite (?2s) = 0.8
- Emissivity of the rest of the satellite (?s) = 0.2
FIND
The portion of the surface which can be covered by solar cells
ASSUMPTIONS
Ambient temperature (T?) = 0 K
Quasi steady state
Solar irradiation (Iso1) = 1420 W/m2 of the surface perpendicular to the rays of the sun
Satellite and cell surfaces are gray
Surface temperature of the satellite is uniform
SKETCH

PROPERTIES AND CONSTANTS
the Stephan-Boltzmann constant

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The amount of carbon dioxide in Earth's atmosphere has been increasing over the last 50 years because of

a. global warming. b. the growth of the ozone hole. c. the burning of fossil fuels. d. increased energy output from the Sun. e. increased magnetic activity in the Sun.

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A mass of 1000 kg hangs at the end of a steel rod 5.0 m in length. The diameter of the rod is 0.80 cm and Young's modulus for the rod is 210,000 MN/m2. What is the elongation of the rod?

A) 1.2 cm B) 0.46 cm C) 0.12 cm D) 1.8 cm E) 0.047 cm

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