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ange. What is the value of the product AxAp? Use p = hik to find the uncertainty in the momentum of the particle. A wave like the one shown in the second figure can be built up by adding together waves with different Express your answer in terms of quantities given in Part A and fundamental constants. wavelengths. Recall that if two waves with similar frequencies, f1 and f2, are added together, a wave with AxAp = h a beat frequency of f1 - f2 is produced, like shown in (Figure 3). This gives a wave with somewhat well-defined position and wavelength. If you add contributions from all Submit Previous Answers of the frequencies between f1 and f2, then you get a wave packet, which looks essentially like a single isolated beat cycle, as shown in (Figure 4). In this problem, you V Correct will consider such a wave packet as simply being one This gives you the general idea of what the uncertainty principle states mathematically. The product of the beat cycle of this wave. While not exactly correct, this will uncertainties in the momentum and position of a particle is on the order of Planck's constant. The give a useful approxmation. uncertainty principle is found to state that AxAp 2 h. The greater-than-or-equal-to sign indicates that some less than ideal waveforms have greater uncertainty that the minimum value of h. Let the distance between the two nodes of the wave be the uncertainty in position Ax. Since the beat frequency is given by f1 - f2, and the wave travels at speed v, the uncertainty in position is given by Part D Ax = fi-f2 In an atom, an electron is confined to a space of roughly 10-10 meters. If we take this to be the uncertainty in the electron's position, what is the minimum uncertainty Ap in its momentum? Figure Express your answer in kilogram meters per second to two significant figures. IVO AEd Ap = 5.3 . 10 -25 kg . m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remainingPart A A neutron is trapped in an infinitely deep potential well 2.2 fm in width. Determine the four lowest possible energy states. [Note: This is a rough model of an atomic nucleus.] Express your answers using two significant figures separated by commas. AEd ? E1, E2, E3, EA = MeV Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Determine their wave functions. O un = (3.0 x 10 m-1/2) sin [(1.4 x 1015n2 m 1) x], n =1, 2, 3, 4 O un = (3.0 x 107m-1/2) sin [(1.4 x 1015nm 1) x], n =1, 2, 3, 4 O un = (3.0 x 107m-1/2) exp [(1.4 x 1015n m 1) x], n =1, 2, 3, 4 O un = (3.0 x 107m-1/2) exp [(-1.4 x 1015nm 1) x], n = 1, 2, 3, 4 Submit Request AnswerA neutron is trapped in an infinitely deep potential Part C well 2.2 fm in width. What is the energy of a photon emitted when the neutron makes a transition between the two lowest states? Express your answer using two significant figures. AEd ? E = MeV Submit Request Answer Part D What is the wavelength of this photon? Express your answer using two significant figures. DA AEd ? 1 = m Submit Request AnswerConstants | Periodic Table What is the wavelength of this photon? Express your answer using two significant figures. A neutron is trapped in an infinitely deep potential well 2.2 fm in width. IVO AEQ X = m Submit Request Answer Part E In what region of the EM spectrum does this photon lie? O Radio waves O Microwaves O Infrared O Visible light O Ultraviolet O X-rays O Gamma rays Submit Request