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Consider Bohr's theory for hydrogen atom...

Consider Bohr's theory for hydrogen atom.The magnitude of angular momentum, orbit radius and frequency of the electron in `n^(th)` energy statein a hydrogen atom are L,r & f espectively. Find out the value of 'x', if the product f r L is directly proportional to `n^(th)`:

A

0

B

1

C

2

D

3

Text Solution

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Consider Bohr's theory for hydrogen atom. The magnitude of angular momentum, orbit radius and frequency of the electron in n^(th) energy state in a hydrogen atom are l, r &f respectively. Find out the value of x . If (frl) is directly proportional to n^(x) .

Consider Bohr's theory for hydrogen atom . The magnitude of orbit angular momentum orbit radius and velocity of the electron in nth energy state in a hydrogen atom are l , r and v respectively. Find out the value of 'x' if product of v, r and l (vrl) is directly proportional to n^(x) .

Knowledge Check

  • The energy of an electron in n^"th" orbit of hydrogen atom is

    A
    `13.6/n^4 eV`
    B
    `13.6/n^3 eV`
    C
    `13.6/n^2 eV`
    D
    `13.6/n` eV

  • 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

  • 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`

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