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The magnitude of angular momentum, orbit...

The magnitude of angular momentum, orbit radius and frequency of revolution of elctron in hydrogen atom corresponding to quantum number n are L, r and f respectively. Then accoding to Bohr's theory of hydrogen atom

A

`f r^(2)L` is constant for all orbits

B

`f rL` is constant for all orbits

C

`f^(2)rL` is constant for all orbits

D

`f rL^(2)` is constant for all orbits

Text Solution

Verified by Experts

The correct Answer is:
B
`L=((nh)/(2pi)), r=(0.53 n^(2)/Z), f prop (Z^(2)/n^(3))`
`(f r L) prop Z` Constant for all orbits.
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Knowledge Check

  • According to Bohr's theory of hydrogen atom

    A
    There is only fixed set of allowed orbitals for the electron
    B
    The allowed orbitals of the electrons are elliptical in shape
    C
    The moment of an electron from one allowed to another allowed orbital is forbidden
    D
    No light is emitted as long as the electron remains in an allowed orbital

  • The magnitude of angular momentum, orbital radius and time period of revolution of an electron in a hydrogen atom corresponding to the quantum number n are L , r and T respectively. Which of the following statement (s) is/are correct?

    A
    `(rL)/T` is independent of n
    B
    `L/T prop 1/(n^2)`
    C
    `T/r prop n`
    D
    `Lr prop 1/n^3`

  • Radius of Bohr's orbit of hydrogen atom is

    A
    `0.24 Å`
    B
    `0.48 Å`
    C
    `0.53 Å`
    D
    `1.06 Å`

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