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Assume that Rayleigh's criterion gives the limit of resolution of an astronaut's eye looking down on Earth's surface from a typical space shuttle altitude of 400 km.
(a) Under that that idealized assumption, estimate the smallest linear width on Earth's surface that the astronaut can resolve. Take the astronaut's pupil diameter to be 5 mm and the wavelength of visible light to be 550 nm.
(b) Can the astronaut resolve the Great Wall of China (Figure), which is more than 3000 km long, 5 to 10 m thick at its base, 4 m thick at its top, and 8 m in height?
(c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth'ssurface?
Estimate the boiling point of a 0.6 molal solution of NaCl in water, What is the osmotic pressure of a 100 mL of toluene solution that contains a total of .005 moles of a polymer dissolved in it at 25°C
A lens that has a focal length of 8.45 cm is used as a magnifying glass. (Take the near point of a normal eye to be 25 cm from the eye.) What is the angular magnification
A skier who starts from rest reached a speed of 8.0m/s while goind down a ski slope for 5.0s. how far does the skier travel in this time
A popular amusement park ride looks like a huge cylinder of radius 2.3 m, where people stand up along the vertical walls on top of a floor which can drop away. find the minimum rotations per second the cylinder must make
A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s2. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s
An object is in front of a converging lens (f = 0.370 m). The magnification of the lens is m = 3.60. Through what distance should the object be moved
an inductor that has a resistance of 70 k? is connected to an ideal battery of 48 v. 2.6 ms seconds after the switch is
A 6 in diameter concrete test cylinder is subjected to a compressive load P = 110 kips. determine the normal stress and shear stress on the failure plane at failure
Two sinusoidal waves of the same frequency travel in the same direction along a string. what is the amplitude (in cm) of the resultant wave
Waves of amplitude 2.4 cm move along a 2-m string that has a mass of 5 g and a tension of 160 N. What is the power transmitted along the string when it vibrates in its fundamental mode? What is the fundamental frequency of the string?
A certain red giant star has a luminosity of 100,000 times that of the Sun and is located 600 light-years from Earth. calculate the rate of interstellar extinction in the direction of the star
An object weighs 302 N in the air. When tied to a string, connected to a balance, and immersed in water, it weighs 220 N. When it is immersed in oil, it weighs 257 N. what is the density of the object.
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