7B.3 What is the minimum uncertainty in the position of a bullet of mass 5.0 g that is known to have a speed some- where between 350.000 001 m s−1 and 350.000000 m s¯¹?
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7B.3
Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables. Please be sure to list the steps for solving too if able or possible.
Believe answer should be something like 1.1 x 10^-26 m
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Solved in 2 steps with 1 images
- (c) The kinetic energy, Kr, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc K₁=-=- where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (i) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 x 10-19 J.)(c) The kinetic energy, K₁, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc Kg = -4 where his Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface.(a) For a particle in the stationary state n of a one dimensional box of length a, find the probability that the particle is in the region 0xa/4.(b) Calculate this probability for n=1,2, and 3.
- 2.9 Vibrations in crystals. (a) Calculate the average vibrational energy per mole for Si at 400 K to within the limits of the Einstein theory. Let VẸ = 12 x 1012 s-1, (b) If each atom carried three quanta of vibrational energy, how much vibrational energy would the crystal contain?(b) A system with chemical potential u = 12.5 meV contains identical particles each with integer spin and has a single quantum state at energy E, = 0 meV. The temperature of the system is fixed at 290 K. To three significant figures, what is the ratio Pg/P1, where P is the probability of finding a single particle in the state Eo, and P3 is the probability of finding 3 particles in this state? P3/P (Input your answer as a number.)(a) The position of an electron is known to be within 10 Å(1.0 × 10-9m). What is the minimum uncertainty in itsvelocity component in this direction?(b) Repeat the calculation of part (a) for a helium atom.
- A.1 Answer the following two questions: (i) A particle with spin s = 2 (in units of ħ) has an orbital angular momentum of € = 1. What are the possible values for its total angular momentum J? (ii) A further measurement of J₂ yields J₂ = −2. What are now the possible values of J? ==4-58. Explain the physical significance of the state by n = ∞ and E= 0 for a hydrogen atom. characterized(c) The kinetic energy, K, of electrons emitted from a metal surface after irradiation with UV light of wavelength is given by: Kg = hc $ where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 × 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (1) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 × 10-19 J.) (iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of the lowest energy photon that would cause emission of electrons from a scandium surface. (iv) Irradiation of scandium with 335 nm light results in electrons emitted with a kinetic energy of 3.20 x 10-19 J. Calculate the de Broglie wavelength of the emitted electrons.
- (c) The kinetic energy, KE, of electrons emitted from a metal surface after irradiation with UV light of wavelength A is given by: hc Kε = 7-9 where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. Calculate the photon energy of the light used in the experiment, in Joules. (1) ₂48C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2(a) If  = 3x? and B = , then show that  and ß donot commute with respect to the function f(x) = sin x. Show, if the wave function, w) = A cos(kx) + iA sin(kx) is an Eigen-function of the linear momentum operator, P and if so, what is the Eigen value. (Note: A and k are constants). (b)