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According to Bohr.s theory, E(n) = total...

According to Bohr.s theory, `E_(n)` = total energy, `K_(n)` = kinetic energy , `V_(n)` = potential energy, `r_(n)` = radius of `n^(th)` orbit. Match the following.

Text Solution

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The correct Answer is:
A-R; B-Q; C-P; D-S
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Let a satellite of mass m is revolving in a circular orbit of radius r round a planet of mass M such that the system is bound. IF E, U, K and B denote total energy, potential energy, kinetic energy and binding energy respectively. Then match the following columns. {:("Column-I",,"Column-II"),("(A) E",,(P) (GMm)/(2r)),("(B) U",, (Q) (GMm)/(r)),("(C) K",,(R) (GMm)/(r)),("(D) B",,(S) (GMm)/(2r)):}

The total number of orbitals present in N th orbit.

Knowledge Check

  • The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom is

    A
    `1:1`
    B
    `1: - 1`
    C
    `1: - 2`
    D
    `2: - 1`
  • According to Bohr.s theory, when ever the electron drops from a higher energy level to a lower energy level, the frequency of radiation emitted is related to the energy change as

    A
    `lambda = (h)/(m v)`
    B
    `m v r = (nh)/(2pi)`
    C
    `upsilon = (Delta E)/(h)`
    D
    `upsilon = (h)/(Delta E)`
  • According to Bohr.s theory, when ever the electron drops from a higher energy level to a lower energy level, the frequency of radiation emitted is related to the energy change as

    A
    `lambda= (h)/(mv)`
    B
    `mvr = (nh)/(2pi)`
    C
    `v= (DeltaE)/(h)`
    D
    `v= h/(DeltaE)`
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