2 Electrons and Baseballs According to de Broglie's hypothesis, every object- even a baseball- has a wavelength associated with its momentum. Likewise, the Heisenberg uncertainty principle applies to every object- even a baseball. The mass of a baseball is 5.00 oz, or about 142 g. (a) What is the de Broglie wavelength of an electron with a speed of 100 mph, or 44.7 m/s? (b) If the uncertainty in the speed of the electron is 1 mph what is the uncertainty in its position? (c) What is the de Broglie wavelength of a 100 mph fastball - a baseball with a speed of 100 mph, or 44.7 m/s? (d) If the uncertainty in the speed of the baseball is 1 mph what is the uncertainty in its position? (e) Critical Thinking: Is the Heisenberg uncertainty principle a good excuse for a player who strikes out? Why or why not?

51) A photon of energy 1.24 eV is absorbed by a molecule. a) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? A..........cm                                         B..........cm-1   The molecule transitions to an energy level of 0.24 eV, and emits a photon. b) What is the energy of the emitted photon (eV)?  ..........eV c) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? C..........cm                                         D..........cm-1 d) Find D-B in cm-1. ..........cm-1   The second photon of energy 1.14 eV is absorbed by the same molecule. e) What is its wavelength in cm and the reciprocal of its wavelength in cm-1?   E..........cm                                         F..........cm-1   The molecule transitions to an energy level of 0.24 eV, and emits a photon. f) What is the energy of the emitted photon (eV)?  ..........eV g) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? G..........cm…

The speed of an electron is 5.67 x 106 m/s with an uncertainty of 7 x 104 m/s. What is the minimum uncertainty with which you can measure its position? Please give your answer in nanometers (1 nm = 10-9 m)

4. An electron has a momentum py =1.30 x 10 kg.m/s. What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (Apy/p) below 2.3%? (35.3 nm

8. An electron is trapped within a sphere whose diameter is 5.20 x 10-15 m (about the size of the nucleus of a medium sized atom). What is the minimum uncertainty in the electron's momentum? kg.m/s

Electrons striking the back of a conventional TV screen travel at a speed of about 2.7 ✕ 107 m/s. What is their de Broglie wavelength (in nm)?

4. In an electron microscope electrons are accelerated by a 1500-V potential drop to a velocity of approximately 1x108 m/s. a) Calculate the de Broglie wavelength of these electrons. b) What size objects should such a microscope be able to visualize? Explain your answer. c) If you desire a minimum uncertainty in the position of the electrons in your microscope of 1 Å, what is the maximum uncertainty that is acceptable in the momentum and velocity of the electrons?..

Mehul

5. An electron ( me = 9.11 × 10−31 kg ) and a bullet ( m = 0.02 kg) each have a velocity of magnitude 500 m/s, with a precision within 0.01%. In what limits is it possible to determine the position of objects along the velocity direction?What can you conclude from comparing your results for the electron and for thebullet?

In a lab a scientist tries to measure the location and speed of an electron.  The position measurements are found to have an uncertainty of 5.01 x 10-11 m (this is 0.0501 nm).  What is the smallest possible uncertainty in velocity?  An electron has a mass of 9.11 x 10-31 kg and Planck's constant is 6.63 x 10-34 J*s