The wavelength of first Lyman series in the transition from n = 2

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 Multiple Choice QuestionsMultiple Choice Questions

161.

If the radius of the first Bohr orbit of the hydrogen atom is 5.29 x 10' m, the radius of the second orbit will be

  • 21.16 x 10−11 m

  • 15.87 x 10−11  m

  • 10.58 x 10−11 m

  • 2.64 x 10−11  m


162.

If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li2+ is

  • 30.6 eV

  • 13.6 eV

  • 3.4 eV

  • 122.4 eV


163.

Which of the following is more close to a black body?

  • Black board paint

  • Green leaves

  • Black holes

  • Red roses


164.

Wavelength of the particle whose momentum is p

  • hp

  • hp

  • ph

  • p + h


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165.

In nth orbit of hydrogen atom energy E = - 13.6n2 eV, then energy required to displace  electrons from n = 1 to n = 2 is

  • - 10.2 eV

  • 3.4 eV

  • - 13.6 eV

  • 1.51 eV


166.

The minimum energy to ionize an atom is the energy required to

  • add one electron to the atom

  • excite the atom from its ground state to its excited state

  • remove one outer most electron from the atom

  • remove one inner most electron from the atom


167.

In hydrogen atom, the electron in a given orbit has total energy -1.5 eV. The potential energy is

  • 1.5 eV

  • - 1.5 eV

  • 3.0 eV

  • - 3.0 eV


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168.

The wavelength of first Lyman series in the transition from n = 2 to n = 1 is

  • 110 nm

  • 120 nm

  • 122 nm

  • 125 nm


C.

122 nm

As En = - 13.6n3 eVAt ground level (n = 1),      E1 = - 13.612 = - 13.6 eVAt first excited state (n= 2),      E2 = - 13.622 = - 3.4 eVAs hv  = E2 - E1 = - 3.4 + 13.6 = 10.2 eV           = 1.6 × 10-19 × 10.2 = 1.63 × 10-18 JAlso, c = So     λ = cv = chE2 - E1            = (3 x 108)  x (6.63 x 10-34)1.63 x 10-18            = 1.22 × 10-7 m  122 nm


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169.

λ1, λ2, λ3 are de-Broglie wavelengths of electron, proton and α - particle. If they are accelerated by same potential, then

  • λ1 < λ< λ3

  • λ1 >λ2 > λ3

  • λ1 < λ2 > λ3

  • λ1 > λ2 < λ3


170.

Which energy state of triply ionized beryllium Be3+ has the same orbital radius as that of ground state of hydrogen atom ?

  • n = 8 state

  • n = 5 state

  • n = 4 state

  • n = 2 state


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