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1.- Suppose that photons of blue light (430 nm) are used tolocate the position o

ID: 76564 • Letter: 1

Question

1.- Suppose that photons of blue light (430 nm) are used tolocate the position of a 2.80 g Ping-Pong ball in flight and thatthe uncertainty in the position is equal to one wavelength. What isthe minimum uncertainty in the speed of the Ping-Pong ball? Commentthe magnitude of your result. 2.- Alveoli are tiny sacs of air in the lungs. Their averagediameter is 5.0 x 10-5m. Calculate the uncertainty inthe velocity of an oxygen molecule (5.53 x 10-26kg)trapped within a sac. (Hint: the maximum uncertainty in theposition of the molecule is given by the diameter of the sac) 1.- Suppose that photons of blue light (430 nm) are used tolocate the position of a 2.80 g Ping-Pong ball in flight and thatthe uncertainty in the position is equal to one wavelength. What isthe minimum uncertainty in the speed of the Ping-Pong ball? Commentthe magnitude of your result. 2.- Alveoli are tiny sacs of air in the lungs. Their averagediameter is 5.0 x 10-5m. Calculate the uncertainty inthe velocity of an oxygen molecule (5.53 x 10-26kg)trapped within a sac. (Hint: the maximum uncertainty in theposition of the molecule is given by the diameter of the sac)

Explanation / Answer

px > h/4                        Heisenberg Uncertainty Principle p = m*v v = h/(4*x*m) Let x = v = (6.626 x 10-34 Js)/(2* 430 x 10-9 m*0.0028 kg) v = 4.38 x 10-26 m/s This is very small 2) v = h/(4*x*m) Let x = d = 5.0 x 10-5m v = (6.626 x 10-34 Js)/(4** 5x10-5 m *5.53 x 10-26 kg) v = 1.90698129e-5 m/s ~ 1.91 x 10-5 m/s