- 6Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10J•s.In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Whichobjects would act like everyday objects, and be adequately described by classical mechanics?objectquantum or classical?classicalAn atom with a mass of 1.0 x 10-28 kg, 52. pm wide,moving at 361. m/s.quantumclassicalAn eyelash mite with a mass of 10.4 µg, 400 µm wide,moving at 25. µm/s.quantumclassicalA mosquito with a mass of 2.0 mg, 13.0 mm long, movingat 2.9 m/s.quantumclassicalA paper airplane with a mass of 4.6 g, 280. mm long,moving at 2.6 m/s.quantumOO OC OO O

The de Broglie wavelength has to be calculated for all the cases. For a quantum system, the…

Answered: 9- Imagine an alternate universe where…

Similar questions

1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?
1. A particle loses 7.20 × 10-¹⁹ J of energy while emitting light. (a) What is the wavelength of the light that is emitted in nm? What portion of the electromagnetic spectrum does this light represent? (b) What is the frequency of the light emitted in sec¯¹? (c) If the wave function for an electron has a wavelength of λ = 500 nm, which would be equivalent to a visible photon if the electron were light instead of a particle, how fast is the electron moving, in m/sec, according to deBroglie's formula?
9B. a) Do particles of matter have wave properties? b). Who was the first physicist to give a convincing answer to the question? c). As the speed of a particle increases, does its associated wavelength increase or decrease? Your answer
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
1. If it moves at a speed of 900 m/s, what is the wavelength (a) electrons; (b) 25000 kg aircraft; (c) Which of the two acts as a matter wave? explain! 2. Green light has a wavelength of 550 nm, through what potential difference must the electrons be accelerated to have a wavelength like this?
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?..
124. For a 1-kg ball in a l-m² square two-dimensional box (i.e., L = 1 m), what is the lowest quantum energy allowed? If the ball had this kinetic energy, how long would it take to travel from one side of the box to the other? Is this time something that you think you could measure?
1. Consider a quantum system in state |) = ¢1) +l¢2)+l¢3) expressed in terms of the orthonormal eigenvectors {|Øn}} of operator, Q, where its spectrum of allowed measured values is given by Qn = n². If many different experiments were performed, what is the expected average outcome of quantity, Q?
1. A magnesium surface has a work function of 3.10 eV. Electromagnetic waves with a wavelength of 190 nm strike the surface and eject electrons. Find the maximum kinetic energy of the ejected electrons. Express your answer in volts. f60 C £60* ssf60 sthetic oss 50 ssf60 s ssf60 ssf ectron
Which has the larger de Broglie wavelength, a 0.50 kg ball moving with a speed of 25 m/s or an electron traveling at 2/3 the speed of light? The mass of an electron is 9.11 x 10-31 kg and the speed of light is 3 x 108 m/s. Select one: a. It could be either, depending on the circumstances. b. The ball c. The electron
= 1. Photoelectric effect. In a photoelectric experiment in which monochromatic light of wave- length \ falls on a potassium surface, it is found that the stopping potential Vstop is 1.9 V for > 300 nm and 0.88 V for \ = 400 nm. Imagine we know neither Planck's constant, nor the workfunction for potassium, nor the threshold frequency fo. But assume we do know the elementary charge e 1.60 × 10-19 C and want to test the theoretical prediction of Eintsein's theory. = (a) From the given data, calculate a value for Planck's constant, h. (b) From the same data, find the workfunction Eo and the threshold frequency fo for potas- sium. (c) Then compare your results for h and Eo to their known values (see Knight, Table 38.1 for the work function). (d) Plot eVstop as a linear function of frequency f. Include the information you have found in parts (a) and (b) as well as the experimental data.