Home
Class 11
CHEMISTRY
Which of the following connot be obtaine...

Which of the following connot be obtained form the solution of Schrodinger wave equation ?

A

Wave function of an electron

B

Energy of an elecrtron in a ` 1-D` box

C

Energyof an electron in orbitals

D

Velocity of electron in circular orbits

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Which of the following cannot be obtained from the solution of the Schrödinger wave equation?", we need to analyze the options provided in relation to what the Schrödinger equation can yield. ### Step-by-Step Solution: 1. **Understanding the Schrödinger Wave Equation**: The Schrödinger wave equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. The equation is given by: \[ \frac{\partial^2 \psi}{\partial x^2} + \frac{\partial^2 \psi}{\partial y^2} + \frac{\partial^2 \psi}{\partial z^2} + \frac{8\pi^2 m}{h^2}(E - V)\psi = 0 \] Here, \( \psi \) is the wave function, \( E \) is the total energy, \( V \) is the potential energy, and \( m \) is the mass of the particle. 2. **Identifying the Options**: The options provided in the question are: - A) Wave function of electron - B) Energy of an electron in a 1D box - C) Energy of an electron in orbitals - D) Velocity of an electron in circular orbits 3. **Analyzing Each Option**: - **Option A (Wave function of electron)**: This can be obtained directly from the Schrödinger equation as it is the primary output of the equation. - **Option B (Energy of an electron in a 1D box)**: This can also be derived from the Schrödinger equation for a particle in a box scenario. - **Option C (Energy of an electron in orbitals)**: The energies associated with orbitals can be determined from the solutions of the Schrödinger equation for hydrogen-like atoms. - **Option D (Velocity of an electron in circular orbits)**: The Schrödinger equation does not provide a direct value for velocity. Instead, it gives the probability distribution of finding an electron in a certain position, not its velocity. 4. **Conclusion**: Based on the analysis, the option that cannot be obtained from the solution of the Schrödinger wave equation is: **D) Velocity of an electron in circular orbits**. ### Final Answer: **D) Velocity of an electron in circular orbits**

To solve the question "Which of the following cannot be obtained from the solution of the Schrödinger wave equation?", we need to analyze the options provided in relation to what the Schrödinger equation can yield. ### Step-by-Step Solution: 1. **Understanding the Schrödinger Wave Equation**: The Schrödinger wave equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. The equation is given by: \[ \frac{\partial^2 \psi}{\partial x^2} + \frac{\partial^2 \psi}{\partial y^2} + \frac{\partial^2 \psi}{\partial z^2} + \frac{8\pi^2 m}{h^2}(E - V)\psi = 0 ...
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    P BAHADUR|Exercise Exercise 3B|19 Videos
  • ATOMIC STRUCTURE

    P BAHADUR|Exercise Exercise 4|39 Videos
  • ATOMIC STRUCTURE

    P BAHADUR|Exercise Exercise|19 Videos
  • CHEMICAL BONDING

    P BAHADUR|Exercise Exercise 7|11 Videos

Similar Questions

Explore conceptually related problems

The quantum number not obtained from the schrodinger's wave equation is

Name the quantum number which does not follow from the solution of Schrodinger wave equation ?

Which of the following connot be used as reagent (B) ?

Which of the following compounds is NOT obtained in the solid form ?

P BAHADUR-ATOMIC STRUCTURE-Exercise 3A
  1. The total enrgy of electron in the firdt state fo H-atom is -3 . 4 eV...

    Text Solution

    |

  2. If lambdav, lambdax and lambdam represents the wavelength of visible...

    Text Solution

    |

  3. Which of the following connot be obtained form the solution of Schrodi...

    Text Solution

    |

  4. Which of the following does not characteristic X -rays ?

    Text Solution

    |

  5. Which electronic level would allow the hydrogen atom to absorb a phot...

    Text Solution

    |

  6. The mass fo 1 mole pghoton of wavelength 589 nm is :

    Text Solution

    |

  7. Number of degenerate orbitals in a level of H-atom having En = (Rh)/9...

    Text Solution

    |

  8. The orientiation of an atomic orbital is governed by :

    Text Solution

    |

  9. The uncertaintuy invelved in the measurement fo velocity within a dist...

    Text Solution

    |

  10. The speed of an electron having its wavelength being equal to speed ca...

    Text Solution

    |

  11. The differnce between nth and (n+1) the Bohr radius of B atom is equa...

    Text Solution

    |

  12. Fill up a sutiable figure in each set in respective choices for psi(3...

    Text Solution

    |

  13. If the uncertainties in the measurement of position and momentum ...

    Text Solution

    |

  14. Ratio of m^(th) wavelength of Lyman series in H-atom is equal to:

    Text Solution

    |

  15. IE1 for (H) and De are 13.6 eV 1 and 24.6 eV respectively . Thus enr...

    Text Solution

    |

  16. The circumfernce fo n^(th) orbit in H-atom can be expressed in tems fo...

    Text Solution

    |

  17. Ration of m^(th) to n^(th) wavelength of Balmer series in H-atom is eq...

    Text Solution

    |

  18. An excited hydrogen atom returns to the ground state . The wavelength ...

    Text Solution

    |

  19. When an electron fo mass 6 m and charge 6e moves with a velocity of 7u...

    Text Solution

    |

  20. If lambda0 is the Threshold wavelength of a metal for photoelencron e...

    Text Solution

    |