Home
Class 11
CHEMISTRY
The Wave function (Psi) of 2s is given b...

The Wave function (Psi) of 2s is given by:
`Psi_(2s)=(1)/(2sqrt2pi)(1/a_(0))^(1//2){2-(r)/a^(0)}e^(-r//2a_(0))`
At `r =r_(0)`, radial node is formed . Thus for 2s `,r_(0),` in terms of `a_(0)` is-

A

`r_(0)=a_(0)`

B

`r_(0)=2a_(0)`

C

`r_(0)=a_(0)//2`

D

`r_(0)=4a_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
When `r=r_(0),Phi_(2s)=0`, then from the given equation: ltbr. `2-(r)/(a_(0))=0`
`r=2a_(0)`.
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    OP TANDON|Exercise Solved Examples|10 Videos

  • ATOMIC STRUCTURE

    OP TANDON|Exercise Some Solved Examples|12 Videos

  • ATOMIC STRUCTURE

    OP TANDON|Exercise Integer Answer Type Questions|6 Videos

  • AROMATIC HYDROCARBONS (ARENES)

    OP TANDON|Exercise EXAMPLES|24 Videos

  • CHARACTERISATION OF ORGANIC COMPOUNDS

    OP TANDON|Exercise Passage-2|5 Videos

Similar Questions

Explore conceptually related problems

Consider psi (wave function) of 2s atomic orbital of H-atom is- psi_(2s)=(1)/(4sqrt(2pia_(0)^(3//2)))[2-(r )/(a_(0))]e^.(r )/(2a_(0) Find distance of radial node from nucleous in terms of a_(0)

The wave function of 2s electron is given by W_(2s) = (1)/(4sqrt(2pi))((1)/(a_(0)))^(3//2)(2 - (r )/(a_(0)))e^(-1 a0) It has a node at r = r_(p) .Find the radiation between r_(p) and a

The wave function of 3s electron is given by Psi_(3s)=1/(81sqrt(3)prod)(1/a_(0))^(3//2)[27-18(r/a_(0))+2(r/a_(0))^(2)]e^(-r//3a_(0)) It has a node at r=r_(0) , Find out the relation between r_(0) and a_(0)

The Schrodinger wave equation for hydrogen atom is Psi_(2s) = (1)/(4sqrt(2pi)) ((1)/(a_(0)))^(3//2) (2 - (r)/(a_(0))) e^(-r//a_(0)) , where a_(0) is Bohr's radius . If the radial node in 2s be at r_(0) , then r_(0) would be equal to :

a.The schrodinger wave equation for hydrogen atom is psi_(2s) = (1)/(4sqrt(2pi)) ((1)/(a_(0)))^((3)/(2)) (2 - (r_(0))/(a_(0)))e^((-(r )/(a)) When a_(0) is Bohr's radius Let the radial node in 2s be n at Then find r_(0) in terms of a_(0) b. A base ball having mass 100 g moves with velocity 100 m s^(-1) .Find the value of teh wavelength of teh base ball

The wave function for 2s orbital is given as: Psi = ((1)/(sqrt2)) ((1)/(alpha_(0)))^(3//2)(2- (r)/(alpha_(0))).e^(-r//2alpha_(0) Where alpha_(0) = First Bohr's radius in H-atom =0.529 "Å" Read the given statement and pick out the correct statement(s).

OP TANDON-ATOMIC STRUCTURE -Illustrations of Objective Question
  1. The number of spectral lines that are possible when electrons in 7th s...

    Text Solution

    |

  2. The ratio of radii of first orbits of H, He^(+) and Li^(2+) is:

    Text Solution

    |

  3. The energy of second orbit of hydrogen is equal to the energy of ,

    Text Solution

    |

  4. What is the energy in eV requried to excite the electron from n=1 to n...

    Text Solution

    |

  5. An electron in an atom jumps in such a way that its kinetic energy cha...

    Text Solution

    |

  6. If the kinetic energy of an electron is increased 4 times, the wavelen...

    Text Solution

    |

  7. The mass of photon having wavelength 1 nm is :

    Text Solution

    |

  8. The de Broglie wavelenth of 1 mg grain of sand blown by a 20 m s^-1 wi...

    Text Solution

    |

  9. In an atom, an electron is moving with a speed of 600 m//s with an ac...

    Text Solution

    |

  10. Velocity of de Broglie wave is given by :

    Text Solution

    |

  11. If the above radial probaility curve indicates '2s' orbital, the dista...

    Text Solution

    |

  12. Plots for 2s orbital are X, Y and Z respectively.

    Text Solution

    |

  13. The Wave function (Psi) of 2s is given by: Psi(2s)=(1)/(2sqrt2pi)(1/...

    Text Solution

    |

  14. The wave function for 1s orbital of hydrogen atom is given by: Psi(1...

    Text Solution

    |

  15. The radial wave equation for hydrogen of radial nodes from nucleus are...

    Text Solution

    |

  16. The orbital angular momentum of an electron in a d-orbital is:

    Text Solution

    |

  17. Which of the following sets of quantum numbers is correct for an elect...

    Text Solution

    |

  18. Match the List -I and List-II and select the correct set from the foll...

    Text Solution

    |

  19. Which of the following is not possible?

    Text Solution

    |

  20. What is the maximum number of electron in an atom that can have the qu...

    Text Solution

    |