Home
Class 11
CHEMISTRY
In 1926, Erwin Schrddot(o)dinger modifie...

In `1926`, Erwin Schrddot(o)dinger modified an existing equation that described a three-dimensional standing wave by imposing wavelength restrictions suggested by de Broglie's idea. It is a differential equation of the type

A

`(h^(2))/(8pi^(2)m)((del^(2))/(delx^(2))+(del^(2)psi)/(dely^(2))+(del^(2)psi)/(delz^(2)))+Vpsi=Epsi`

B

`-(h^(2))/(8pi^(2)m)((del^(2)psi)/(delx^(2))+(del^(2)psi)/(dely^(2))+(del^(2)psi)/(delz^(2)))+Vpsi=Epsi`

C

`-(h^(2))/(8pi^(2)m)((del^(2)psi)/(delx^(2))+(del^(2)psi)/(dely^(2))+(del^(2)psi)/(delz^(2)))-Vpsi=Epsi`

D

`(h^(2))/(8pi^(2)m)((del^(2)psi)/(delx^(2))+(del^(2)psi)/(dely^(2))+(del^(2)psi)/(delz^(2)))-Vpsi=Epsi`

Text Solution

Verified by Experts

The correct Answer is:
B

The modified equation allowed hin to calculate the enegry levels in the hydrogen atom. A knowledge of differential calculus would be necessary to solve this equation.
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    R SHARMA|Exercise Follow-up Test 2|1 Videos
  • STRUCTURE OF ATOM

    R SHARMA|Exercise Follow-up Test 3|1 Videos
  • STRUCTURE OF ATOM

    R SHARMA|Exercise Follow-up Test 1|1 Videos
  • STATES OF MATTER

    R SHARMA|Exercise ARCHIVES|41 Videos
  • THE P BLOCK ELEMENTS

    R SHARMA|Exercise Archives|40 Videos

Similar Questions

Explore conceptually related problems

de-Broglie equation describes the relationship of wavelength associated with the motion of an electron and its

When a particle is restricted to move along x- axis between x = 0 and x = 4 whwre a is opf nanometer demension , its energy can take only certain spscfic values . The allowed energies of the particles only in such a restiricted regain , correspond to the formation of standing wave with nodes at its end x = 0 and x = a .The wavelength of this standing wave is related to the linear momentum p of the paarticle according to the de Broglie relation .The energy of the particle of mass m is reated to its linear momentum as E = (p^(2))/(2m) . thus , the energy of the particle can be denoted by a quantum number n taking value 1,2,3,....(n= 1, called the ground state) corresponding to the number of loops in the standing wave use the model described above to answer the following there question for a particle moving in the line x = 0 to x = a Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19)C If the mass of the particle is m = 1.0 xx 10^(-30) kg and a= 6.6 nm the energyof the particle in its ground state is closest to

When a particle is restricted to move along x- axis between x = 0 and x = 4 whwre a is opf nanometer demension , its energy can take only certain spscfic values . The allowed energies of the particles only in such a restiricted regain , correspond to the formation of standing wave with nodes at its end x = 0 and x = a .The wavelength of this standing wave is related to the linear momentum p of the paarticle according to the de Broglie relation .The energy of the particle of mass m is reated to its linear momentum as E = (p^(2))/(2m) . thus , the energy of the particle can be denoted by a quantum number n taking value 1,2,3,....(n= 1, called the ground state) corresponding to the number of loops in the standing wave use the model described above to answer the following there question for a particle moving in the line x = 0 to x = a Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19)C The alloewd energy for the particle for a particular value of n is proportional to

When a particle is restricted to move along x- axis between x = 0 and x = 4 whwre a is opf nanometer demension , its energy can take only certain spscfic values . The allowed energies of the particles only in such a restiricted regain , correspond to the formation of standing wave with nodes at its end x = 0 and x = a .The wavelength of this standing wave is related to the linear momentum p of the paarticle according to the de Broglie relation .The energy of the particle of mass m is reated to its linear momentum as E = (p^(2))/(2m) . thus , the energy of the particle can be denoted by a quantum number n taking value 1,2,3,....(n= 1, called the ground state) corresponding to the number of loops in the standing wave use the model described above to answer the following there question for a particle moving in the line x = 0 to x = a Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19)C The speed of the particle , that can take discrete values, is propotional to

When a particle is restricted to move along x-axis between x=0 and x=a , where alpha if of nenometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x=0 and x=a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum as E=(p^2)/(2m) . Thus the energy of the particle can be denoted by a quantum number n taking values 1,2,3, ...( n=1 , called the ground state) corresponding to the number of loops in the standing wave. Use the model described above to answer the following three questions for a particle moving along the line from x=0 to x=alpha . Take h=6.6xx10^(-34)Js and e=1.6xx10^(-19) C. Q. If the mass of the particle is m=1.0xx10^(-30) kg and alpha=6.6nm , the energy of the particle in its ground state is closest to

When a particle is restricted to move along x-axis between x=0 and x=a , where alpha if of nenometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x=0 and x=a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum as E=(p^2)/(2m) . Thus the energy of the particle can be denoted by a quantum number n taking values 1,2,3, ...( n=1 , called the ground state) corresponding to the number of loops in the standing wave. Use the model described above to answer the following three questions for a particle moving along the line from x=0 to x=alpha . Take h=6.6xx10^(-34)Js and e=1.6xx10^(-19) C. Q. The allowed energy for the particle for a particular value of n is proportional to

When a particle is restricted to move along x-axis between x=0 and x=a , where alpha if of nenometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x=0 and x=a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum as E=(p^2)/(2m) . Thus the energy of the particle can be denoted by a quantum number n taking values 1,2,3, ...( n=1 , called the ground state) corresponding to the number of loops in the standing wave. Use the model described above to answer the following three questions for a particle moving along the line from x=0 to x=alpha . Take h=6.6xx10^(-34)Js and e=1.6xx10^(-19) C Q. The speed of the particle that can take discrete values is proportional to

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . If the mass of the particle is m = 1.0 xx 10^(-30) kg and a = 6.6 nm , the energy of the particle in its ground state is closet to

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The allowed energy for the particle for a particular value of n is proportional to

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The speed of the particle, that can take disrete values, is proportional to

R SHARMA-STRUCTURE OF ATOM-Follow-up Test
  1. A1though quantum mechanics tells us that we cannot pinpoint an elector...

    Text Solution

    |

  2. The mathematical approach of quantum mechanics involves treating the e...

    Text Solution

    |

  3. In 1926, Erwin Schrddot(o)dinger modified an existing equation that de...

    Text Solution

    |

  4. The Schrddot(o)dinger equation has been solved exactly only for (i) ...

    Text Solution

    |

  5. Quantum mechancial model of atom is the picture of the structure of th...

    Text Solution

    |

  6. Which of the following is not ture for the quantum mechanical model of...

    Text Solution

    |

  7. According to quantum mechanics, each electron in an atom is described ...

    Text Solution

    |

  8. A wave function for an electron in an atom is called

    Text Solution

    |

  9. The enegry of an electron in an atom//ion depends principally on

    Text Solution

    |

  10. Orbitals of the same quantum stateare said to belong to the same shell...

    Text Solution

    |

  11. Which of the following quantum numbers relates to the average distance...

    Text Solution

    |

  12. Maximum number of orbitals is given shell identified by the principal ...

    Text Solution

    |

  13. Which of the following quantum numbers distinguishes the orbitals of g...

    Text Solution

    |

  14. Within the M shell, there arekinds of orbitals, each having a differen...

    Text Solution

    |

  15. A1though the energy of an orbital is principally determined by the n q...

    Text Solution

    |

  16. Orbitals of the samebut differentare said to belong to different subsh...

    Text Solution

    |

  17. The angular momentum quantum number (l) does not tell us theof the orb...

    Text Solution

    |

  18. The possible values of l depend on the value of the principal quantum ...

    Text Solution

    |

  19. The value of lis generally designated by the eletters s,p,d…. Thus, if...

    Text Solution

    |

  20. magnetic quantum number, m(l), distingushes the orbitals of given n an...

    Text Solution

    |