Which statement about the wave function for a single electron is NOT correct? 1- Louis de...
Which statement about the wave function for a single electron is
NOT correct?
1- Louis de Broglie postulated that the wavelength of an electron
is given in terms of Planck's constant and its momentum, λ = h /
p.
2- A French graduate student named Louis de Broglie first had the
idea that an electron should be described as a wave.
3-The amplitude of a wave function at a particular point in space
equals the probability density of finding the electron at that
point.
4-The square of the amplitude of the wave function at a particular
point in space gives the probability density of finding the
electron at that point
Homework Answers
Add Answer to:
Which statement about the wave function for a single electron is
NOT correct?
1- Louis de...
Learning Goal: To understand de Broglie waves and the calculation of wave properties. In 1924, Louis...
Learning Goal: To understand de Broglie waves and the calculation of wave properties. In 1924, Louis de Broglie postulated that particles such as electrons and protons might exhibit wavelike properties. His thinking was guided by the notion that light has both wave and particle characteristics, so he postulated that particles such as electrons and protons would obey the same wavelength-momentum relation as that obeyed by light: λ=h/p, where λ is the wavelength, p the momentum, and h Planck's constant. Part...
QUESTION 26 The square of the wave function, y 2, of an electron in an atom...
QUESTION 26 The square of the wave function, y 2, of an electron in an atom O A. is inversely proportional to the distance between the electron and the nucleus. B. is proportional to the velocity of the electron. () C. gives the probability of finding the electron in a region of space C D, specifies the momentum of the electron. E. describes the energy of the electron.
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in...
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in meters. Find the electron's de Broglie wavelength the electron's momentum a. b, 3. When an electron is confined in the semi-infinite square, its wave function will be in the form Asin kx for0<x<L ψ(x)- Ce for x> L having L = 5 nm and k = 1.7 / nm. a. Find the energy of the state. b. Write down the matching conditions that the...
Problem 1. Wave function An electron is described by a wave function: for x < 0...
Problem 1. Wave function An electron is described by a wave function: for x < 0 *(z) = { ce Ce-s/1(1 – e-3/4) for x > 0 : where I is a constant length, and C is the normalization constant. 1. Find C. 2. Where an electron is most likely to be found; that is, for what value of x is the prob: bility for finding electron largest? 3. What is the average coordinate 7 of the electron? 4. What...
5. A wave function for an electron in an atom is called an atomic orbital; this...
5. A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described...
The measured ionization energy of the 2s1 electron of Lithium is 5.39eV, what is the effective...
The measured ionization energy of the 2s1 electron of Lithium is 5.39eV, what is the effective charge Zeff of the Lithium nucleus for this electron? II.2. How fast must an object move before its length appears to be contracted to one-half its proper length? II.3. A distant galaxy is moving away from the Earth at such high speed that a spectrum line at a wavelength of 300nm is recorded at 600nm. What is the speed of the galaxy relative to...
Name Development of Modern Atomic Theory -Video worksheet 1. The development of atomic theory started over...
Name Development of Modern Atomic Theory -Video worksheet 1. The development of atomic theory started over 2000 years ago with a man named 2. He believed that all matter is made up of tiny particles called 3. Who was the next person to advance atomic theory in 1808? and 4. He thought that atoms of a given element are identical in other properties. Today we know this to NOT be true because of 5. 90 years later, a man named...
1.Vp and Vg are the phase velocity and group velocity, respectively, of the de Broglie wave...
1.Vp and Vg are the phase velocity and group velocity, respectively, of the de Broglie wave for an electron moving with the velocity V, and C is the velocity of light in free space. Which of the following is incorrect? (a) Vp> Vg (b) Vp>C (c) Vg<C (d) Vg=V (e) Vp=V 2.An atomic force microscope (AFM) probe is essentially a cantilever with a nanosized tip at the free end. One scan mode of AFM is to drive the probe as...
1.Which one of the 0.1 M solutions of C2H5OH, HC2H3O2 and NaC2H3O2, in water will cause...
1.Which one of the 0.1 M solutions of C2H5OH, HC2H3O2 and NaC2H3O2, in water will cause of the light bulb to glow most brightly? 2.For a functional group having a carbon atom singly bonded to an electronegative atom, (a) this carbon atom is likely to bear a partial positive charge. (b) bonding electrons are to be delocalized within this functional group (c) it appears as an essential part of ester molecules. (d) it appears as an essential part of ketone...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
QUESTION 26 The square of the wave function, y 2, of an electron in an atom O A. is inversely proportional to the distance between the electron and the nucleus. B. is proportional to the velocity of the electron. () C. gives the probability of finding the electron in a region of space C D, specifies the momentum of the electron. E. describes the energy of the electron.
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in meters. Find the electron's de Broglie wavelength the electron's momentum a. b, 3. When an electron is confined in the semi-infinite square, its wave function will be in the form Asin kx for0<x<L ψ(x)- Ce for x> L having L = 5 nm and k = 1.7 / nm. a. Find the energy of the state. b. Write down the matching conditions that the...
Problem 1. Wave function An electron is described by a wave function: for x < 0 *(z) = { ce Ce-s/1(1 – e-3/4) for x > 0 : where I is a constant length, and C is the normalization constant. 1. Find C. 2. Where an electron is most likely to be found; that is, for what value of x is the prob: bility for finding electron largest? 3. What is the average coordinate 7 of the electron? 4. What...
5. A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described...
Name Development of Modern Atomic Theory -Video worksheet 1. The development of atomic theory started over 2000 years ago with a man named 2. He believed that all matter is made up of tiny particles called 3. Who was the next person to advance atomic theory in 1808? and 4. He thought that atoms of a given element are identical in other properties. Today we know this to NOT be true because of 5. 90 years later, a man named...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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