Quantum mechancial model of atomic structure is framed in the of a____, a mathematical equation similar in from to that used to describe the motion of ordinary waves in fluids.
Quantum mechancial model of atomic structure is framed in the of a____, a mathematical equation similar in from to that used to describe the motion of ordinary waves in fluids.
A
wave equation
B
wave packet
C
wave crest
D
wave trough
Text Solution
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The correct Answer is:
A
It is Schrddot(o)dinger's wave equation.
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An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. The electronic configuration of P in H_(3)PO_(4) is
Historians differ on exactly when the modern scientific age began, but certainly by the time Galileo Galilei, Rene C Descartes, and Isaac Newton had had their say, it was briskly under way. In those days, the new scientific mind-set was being steadily forged, as patterns found in terrestrial and astronomical data made it increasingly clear that there is an order to all the comings and goings of the cosmos, an order accessible to careful reasoning and mathematical analysis. These early pioneers of modern scientific thought argued that, when looked at the right way, the happenings in the universe not only are explicable but predictable. The power of science to foretell aspects of the future-consistently and quantitatively-had been revealed. Early scientific study focused on the kinds of things one might see or experience in everyday life. Galileo dropped weights from a leaning tower (or so legend has it) and watched balls rolling down inclined surfaces, Newton studied falling apples (or so legend has it) and the orbit of the moon. The goal of these investigations was to attune the nascent scientific ear to nature's harmonies. To be sure, physical reality was the stuff of experience, but the challenge was to hear the rhyme and reason behind the rhythm and regularity. Many sung and unsung heroes contributed to the rapid and impressive progress that was made, but Newton stole the show. With a handful of mathematical equations, he synthesized everything known about motion on earth and in the heavens, and in so doing, composed the score for what has come to be known as classical physics. In the decades following Newton's work, his equations were developed into elaborate mathematical structures that significantly extended both their reach and their practical utility. Classical physics gradually became a sophisticated and mature scientific discipline. But shining clearly through all these advances was the beacon of Newton's original insights. Which word/phrase does the writer use to describe the potential of the great persons mentioned here?
Knowledge Check
Quantum mechancial model of atom is the picture of the structure of the atom which emerges from the application of the Schrddot(o)dinger equation to atoms. Which of the following is the incorrect feature of the euantum mechanical model of atom?
Quantum mechancial model of atom is the picture of the structure of the atom which emerges from the application of the Schrddot(o)dinger equation to atoms. Which of the following is the incorrect feature of the euantum mechanical model of atom?
A
The energy of free electrons is quantized.
B
The existance of quantized enegry levels is the direct result of the wave-like properties of electron and are allowed solutions of the Schrddot(o)dinger wave equation.
C
We talk of only the proabability of finding the electron at different points in an atom as the path of an electron in an atom can never be determined or known accurately in accordance with Heisenberg's uncertainty principle.
D
To distinguish the quantum mechanical description form Bohr's model, we speak of an atomic orbital or just orbital, rather than an orbit. An orbital can be though of as the wave function `(psi)` of an electron in an atom.
An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. How many electrons in a given atom have the following set of quantium numbers? n = 3, l =2, m = +2, s = -1//2
An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. How many electrons in a given atom have the following set of quantium numbers? n = 3, l =2, m = +2, s = -1//2
A
1
B
18
C
14
D
cannot be known
An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. The maximum number of electrons in a subshell having the same value of spin quantum number is given by
An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. The maximum number of electrons in a subshell having the same value of spin quantum number is given by
A
`l+2`
B
`2l+1`
C
`l(l+1)`
D
`sqrt(l(l+1))`
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Historians differ on exactly when the modern scientific age began, but certainly by the time Galileo Galilei, Rene C Descartes, and Isaac Newton had had their say, it was briskly under way. In those days, the new scientific mind-set was being steadily forged, as patterns found in terrestrial and astronomical data made it increasingly clear that there is an order to all the comings and goings of the cosmos, an order accessible to careful reasoning and mathematical analysis. These early pioneers of modern scientific thought argued that, when looked at the right way, the happenings in the universe not only are explicable but predictable. The power of science to foretell aspects of the future-consistently and quantitatively-had been revealed. Early scientific study focused on the kinds of things one might see or experience in everyday life. Galileo dropped weights from a leaning tower (or so legend has it) and watched balls rolling down inclined surfaces, Newton studied falling apples (or so legend has it) and the orbit of the moon. The goal of these investigations was to attune the nascent scientific ear to nature's harmonies. To be sure, physical reality was the stuff of experience, but the challenge was to hear the rhyme and reason behind the rhythm and regularity. Many sung and unsung heroes contributed to the rapid and impressive progress that was made, but Newton stole the show. With a handful of mathematical equations, he synthesized everything known about motion on earth and in the heavens, and in so doing, composed the score for what has come to be known as classical physics. In the decades following Newton's work, his equations were developed into elaborate mathematical structures that significantly extended both their reach and their practical utility. Classical physics gradually became a sophisticated and mature scientific discipline. But shining clearly through all these advances was the beacon of Newton's original insights. This passage is mainly about
Historians differ on exactly when the modern scientific age began, but certainly by the time Galileo Galilei, Rene C Descartes, and Isaac Newton had had their say, it was briskly under way. In those days, the new scientific mind-set was being steadily forged, as patterns found in terrestrial and astronomical data made it increasingly clear that there is an order to all the comings and goings of the cosmos, an order accessible to careful reasoning and mathematical analysis. These early pioneers of modern scientific thought argued that, when looked at the right way, the happenings in the universe not only are explicable but predictable. The power of science to foretell aspects of the future-consistently and quantitatively-had been revealed. Early scientific study focused on the kinds of things one might see or experience in everyday life. Galileo dropped weights from a leaning tower (or so legend has it) and watched balls rolling down inclined surfaces, Newton studied falling apples (or so legend has it) and the orbit of the moon. The goal of these investigations was to attune the nascent scientific ear to nature's harmonies. To be sure, physical reality was the stuff of experience, but the challenge was to hear the rhyme and reason behind the rhythm and regularity. Many sung and unsung heroes contributed to the rapid and impressive progress that was made, but Newton stole the show. With a handful of mathematical equations, he synthesized everything known about motion on earth and in the heavens, and in so doing, composed the score for what has come to be known as classical physics. In the decades following Newton's work, his equations were developed into elaborate mathematical structures that significantly extended both their reach and their practical utility. Classical physics gradually became a sophisticated and mature scientific discipline. But shining clearly through all these advances was the beacon of Newton's original insights. What played a major role in all the experiments of early scientists?
The wave function psi_(n,l,m) is a mathematical function whose value depends upon spherical polar coordinates (r, theta, phi) of the electron and characterized by the quantum numbers n,l and m . Here r is distance from nucleus theta is colatitude and phi is azimuth. In the mathematical functions given in the Table, Z is atomic number and a_(0) is Bohr radius. For the given orbital in Column 1 the only Correct combination for any hydrogen -like species is
The wave function, psi_(n), l, m_(l) is a mathematical function whose value depends upon spherical polar coordinates (r,theta,phi) of the electron and characterised by the quantum number n,l and m_(l) . Here r is distance from nucleus, theta is colatitude and phi is azimuth. In the mathematical functions given in the Table, Z is atomic number and a_(0) is Bohr radius. For the given orbital in Column I, the Only CORRECT combination for any hydrogen-like species is