Home
Class 12
PHYSICS
To calculate the size of a hydrogen anio...

To calculate the size of a hydrogen anion using the Bohr model, we assume that its two electrons move in an orbit such that they are always on diametrically opposite sides of the nucleus. With each electron having the angular momentum `h=h//2pi`, and taking electron interaction into account the radius of the orbit in terms of the Bohr radius of hydrogen atom `a_(B)=(4piepsilon_(0)h^(2))/(me^(2))` is

A

`a_(B)`

B

`(4)/(3)a_(B)`

C

`(2)/(3)a_(B)`

D

`(3)/(2)a_(B)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART I (Chemistry)|2 Videos

Similar Questions

Explore conceptually related problems

For a 'd' electron, the orbital angular momentum is (h =(h)/(2pi))

The angular momentum of an electron in the hydrogen atom is (2h)/(pi) . What is the potential energy of this electron ?

An electron in Bohr's hydrogen atom has angular momentum (2h)/(pi) The energy of the electron is

The angular momentum of an electron moving in a Bohr orbit is (h/pi) . What is its energy in the same orbit ?

Compute the angular momentum in 4th orbit, if L is the angular momentum of he electron in the 2nd orbit of hydrogen atom.

In the Bohr's model of hydrogen-like atom the force between the nucleus and the electron is modified as F=(e^2)/(4 pi epsi_0)((1)/(r^2)+(beta)/(r^3)) , where B is a constant. For this atom, the radius of the nth orbit in terms of the Bohr radius (a_0 = ( epsi_0 h^2)/(m pi e^2)) is :

a. Calculate the radius of Bohr's first orbit for hydrogen atom and the energy of electron in this orbit . b. Calculate the Bohr's radius for the fifth orbit of the hydrogen atom

The angular momentum of an electron in hydrogen atom is 4 h// 2 pi . Kinetic energy this electron is

KVPY PREVIOUS YEAR-KVPY-All Questions
  1. A solid cube of wood of side 2a and mass M is resting on a horizontal ...

    Text Solution

    |

  2. A gas obeying the equation of state PV = RT undergoes a hypothetical r...

    Text Solution

    |

  3. To calculate the size of a hydrogen anion using the Bohr model, we ass...

    Text Solution

    |

  4. A square-shaped conducting wire loop of dimension a moving parallel to...

    Text Solution

    |

  5. The figure of a centimeter scale below shows a particular position of ...

    Text Solution

    |

  6. A parallel beam of light is incident on a tank filled with water up to...

    Text Solution

    |

  7. A star of mass M (equal to the solar mass) with a planet (much smaller...

    Text Solution

    |

  8. Consider the following statements (X and Y stand for two different ele...

    Text Solution

    |

  9. A student performs an experiment to determine the acceleration due to ...

    Text Solution

    |

  10. A person goes from point P to point Q covergin 1/3 of the distance wit...

    Text Solution

    |

  11. A person looks at the image of two parallel finite length lines PQ and...

    Text Solution

    |

  12. In Guericke’s experiment to show the effect of atmospheric pressure, t...

    Text Solution

    |

  13. Positive point charges are placed at the vertices of a star shape as s...

    Text Solution

    |

  14. A total solar eclipse is observed from the earth. At the same an obser...

    Text Solution

    |

  15. Ice in a freezer is at –7^(@)C. 100 g of this ice is mixed with 200 g ...

    Text Solution

    |

  16. A point source of light is placed at 2f from a converging lens of foca...

    Text Solution

    |

  17. The word ‘’KVPY’’ is written on a board and viewed through different l...

    Text Solution

    |

  18. A ball is dropped vertically from heigth h and is bouncing elastically...

    Text Solution

    |

  19. A student studying the similarities and differences between a camera a...

    Text Solution

    |

  20. A particle starts moving along a line from zero initial velocity and c...

    Text Solution

    |