Uncertainty Principle Using Momentum and Position: A tiny dust particle of mass 8.50 µg is being observed under a microscope. Its position is determined to be within a space of 0.0060 mm. (h = 6.626 × 10-34 J ? s)(a) Find the uncertainty in its speed implied by the uncertainty in its position.(b) Assuming the dust particle is moving at the speed in part (a), how many years would it take for the particle to move 1.0 mm?
What will be an ideal response?
(a) 2.1 × 10-21 m/s (b) 1.5 × 1010 y
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An aniline-alcohol solution is flowing at a velocity of 3 m/s through a long, 2.5 cm-ID thin-wall tube. Steam is condensing at atmospheric pressure, on the outer surface of the tube, and the tube-wall temperature is 100°C. The tube is clean, and there is no thermal resistance due to a scale deposit on the inner surface. Using the physical properties tabulated below, estimate the heat transfer coefficient between the fluid and the pipe using and compare the results. Assume that the bulk temperature of the aniline solution is 20°C and neglect entrance effects.
GIVEN
• An aniline-alcohol solution flowing through a thin-walled tube
• Tube is clean with no scaling on inner surface
• Velocity (V) =3 m/s
• Inside diameter of tube (D) = 2.5 cm = 0.025 m
• Tube wall surface temperature (Ts) = 100°C
• Solution has the properties listed above
• Solution bulk temperature (Tb)= 20°C FIND
• The heat transfer coefficient ( ch ) using: (a) Equation (7.61) (b) Equation (7.66)
ASSUMPTIONS
• Steady state
• Entrance effects are negligible
• Thermal resistance of the tube is negligible
• Tube wall temperature is constant and uniform
• Fully developed flow
SKETCH
PROPERTIES AND CONSTANTS
The density of water ? 1000 kg/m3
The sum of the forces exerted on an object of interest is 125 N. As a result, the object accelerates with an acceleration of 24.0 m/s2. The mass of the object is
A) 3000 kg. B) 2880 kg. C) 144 kg. D) 0.200 kg. E) 5.21 kg.
Velma, the space woman, orbiting at 100 miles above earth's surface, feels weightless because
A) she is in a vacuum. B) she is away from the pull of earth's gravity. C) she went on a diet. D) she is falling freely around Earth. E) Actually, she doesn't feel weightless.
If the photons from blackbody radiator radiation pass through a cool gas, a(n) ____ spectrum is produced
a. absorption b. emission c. continuous d. Doppler e. ionization