Home
Class 11
CHEMISTRY
In a hydrogen like ion, nucleus has a po...

In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quantization rule is, the angular momentum of an electron about the nucleus `l = (nh)/(2pi)`, where 'n' is a positive integer.
Change in K.E of electron when it goes from ground state to 1st excited state

A

`(3)/(32)(m_(e)ze^(4))/(in_(0)^(2)h^(2))`

B

`(-3)/(32)(m_(e)ze^(4))/(in_(0)^(2)h^(2))`

C

`(1)/(32)(m_(e)ze^(2))/(in_(0)^(2)h^(2))`

D

`(-1)/(32)(m_(e)ze^(2))/(in_(0)^(2)h^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B

`K.E.=-` (Total Energy)
`Delta KE = - (3)/(2) (zme^(4))/(in_(0)^(2)h^(2))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quantization rule is, the angular momentum of an electron about the nucleus l = (nh)/(2pi) , where 'n' is a positive integer. If electron goes from ground state to 1st excited state then change in energy of the hydrogen like ion is

In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quantization rule is, the angular momentum of an electron about the nucleus l = (nh)/(2pi) , where 'n' is a positive integer. If electron is in ground state the magnetic field produced at the site of nucleus due to circular motion of the electron

Assertion: In the duration electron jumps from fist excited state to ground state in a stationary isolated hydrogen atom, angular momentum of the electron about the nucleus is conserved. Reason: As the electron jumps from first excited state to ground state, in a hydrogen atom, the electrostatic force on electron is always directed twoards the nucleus.

A hydrogen atom is in a state with energy -1.51 eV. in the Bohr model, what is the angular momentum of the electron in the atom with respect to an axis at the nucleus?

A hydrogen atom is in its excited state with energy -1.51 eV. The angular momentum of the electron in this state is (xh)/(2pi) then write the value of 'x'

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: In our world, the velocity of electron is v_(0) when the hydrogen atom is in the ground state on the other planet should be

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: In our world, the ionization potential energy of a hydrogen atom is 13.6 eV . On the other planet, this ionization potential energy will be

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: The minimum permissible radius of the orbit will be

Consider a system containing a negatively charge poin (pi, m_(pi) = 273^(@)m_(e)) orbital around a staionary nucleus of atomic number Z .The total energy (E_(n)) of ion is half of its potential energy (PE_(n)) in nth sationary state .The motion of the poin can be assumed to be in a uniform circular notion with centripents force given by the force of attaraction between the positive uncless and the point .Assume that point revolves only in the stationary satte defined by the quantisation of its angular momentum about the nucless as Bohr's model The longest wavelength radiation emitted in the emission spectrum when the pion de-excited from n = 3 to ground state lies which of the following region ?

Consider atoms H, He^(+), Li^(++) in their ground states. If L_(1), L_(2) and L_(3) are magnitude of angular momentum of their electrons about the nucleus respectively then:

NARAYNA-ATOMIC STRUCTURE-All Questions
  1. The Schrodinger wave equation for H-atom is nabla^(2) Psi = (8pi^(2)...

    Text Solution

    |

  2. The hydrogen -like species Li^(2+) is in a spherically symmetric stat...

    Text Solution

    |

  3. The hydrogen -like species Li^(2+) is in a spherically symmetric stat...

    Text Solution

    |

  4. The hydrogen -like species Li^(2+) is in a spherically symmetric stat...

    Text Solution

    |

  5. In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quant...

    Text Solution

    |

  6. In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quant...

    Text Solution

    |

  7. In a hydrogen like ion, nucleus has a positive charge Ze, Bohr's quant...

    Text Solution

    |

  8. The value of 'n' of the highest excited state that an electron of hydr...

    Text Solution

    |

  9. A hydrogen like species (atomic number Z) is present in a higher excit...

    Text Solution

    |

  10. If the lowest energy X-rays have lambda=3.055xx10^(-8) m, estimate the...

    Text Solution

    |

  11. Electron in a sample of H- atoms make transitions from state n=x to so...

    Text Solution

    |

  12. Aphoton of energy 4.5 eV strikes on a metal surface of work function 3...

    Text Solution

    |

  13. Not considering the electronic spin, the degeneracy of the second exci...

    Text Solution

    |

  14. In Bohr's model, r(n,z)= radius of n^(th) orbit with atomic number Z ...

    Text Solution

    |

  15. {:(Column I,Column II),((A)H,(p)"Radius of"4^(th)"orbit"0.53 xx 4overs...

    Text Solution

    |

  16. Match the entries in Column I with the correctly related quantum numbe...

    Text Solution

    |

  17. {:(,"ColumnI",,"ColumnII"),((A),"The d-orbital which has two angular n...

    Text Solution

    |

  18. Match the following columns

    Text Solution

    |

  19. {:(,"ColumnI",,"ColumnII"),((A),(K.E.)/(P.E.),(P),2),((B),P.E+2K.E.,(Q...

    Text Solution

    |

  20. {:(Column I,Column II),((A)1s,(p)m(l)=0),((B)2p(z),(q)"Nodal planes"=2...

    Text Solution

    |