Energy levels A, B, C of a certain atom corresponding to increasing values of energy i.e. EA<EB<EC. If λ1, λ2, λ3 are the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements is correct

(a) λ3=λ1+λ2                      (b) λ3=λ1λ2λ1+λ2
(c) λ1+λ2+λ3=0                 (d) λ32=λ12+λ22

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Spectral series
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The angular momentum of electron in nth orbit is given by

(a) nh                 (b) h2πn 
(c) nh2π             (d) n2h2π

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Bohr's model of atom
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The ratio of the energies of the hydrogen atom in its first to second excited state is 
(a) 1/ 4                    (b) 4/9
(c) 9/ 4                     (d) 4

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Bohr's model of atom
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An electron jumps from the 4th orbit to the 2nd orbit of hydrogen atom. Given the Rydberg's constant R = 105 cm-1. The frequency in Hz of the emitted radiation will be 
(a) 316×105           (b) 316×1015
(c) 916×1015          (d) 34×1015

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Bohr's model of atom
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The ionisation potential of hydrogen atom is 13.6 volt. The energy required to remove an electron in the n = 2 state of the hydrogen atom is 
(a) 27.2 eV                (b) 13.6 eV
(c) 6.8 eV                  (d) 3.4 eV

Concept Questions :-

Bohr's model of atom
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If the wavelength of the first line of the Balmer series of hydrogen is 6561 A0, the wavelength of the second line of the series should be 
(a) 13122 A0                  (b) 3280 A0
(c) 4860 A0                    (d) 2187 A0

Concept Questions :-

Spectral series
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A beam of fast moving alpha particles were directed towards a thin film of gold. The parts A',B', and C' of the transmitted and reflected beams corresponding to the incident parts A, B and C of the beam, are shown in the adjoining diagram. The number of alpha particles in

(a) B' will be minimum and in C' maximum
(b) A' will be maximum and in B' minimum
(c) A' will be minimum and in B' maximum
(d) C' will be minimum and in B' maximum

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Various atomic model
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According to Bohr's theory the radius of electron in an orbit described by principal quantum number n and atomic number Z is proportional to 
(a) Z2n2            (b) Z2n2
(c) Z2n              (d) n2Z

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Bohr's model of atom
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The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be

(a) 3 R                    (b) 2.25 R
(c) 9 R                    (d) R3

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Bohr's model of atom
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If m is mass of electron, v its velocity, r the radius of stationary circular orbit around a nucleus with charge Ze, then from Bohr's first postulate, the kinetic energy K=12mv2 of the electron in C.G.S. system is equal to

(a) 12Ze2r                             (b) 12Ze2r2
(c) Ze2r                                 (d) Ze2r2

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Bohr's model of atom
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