An electron changes its position from orbit n = 4 to the orbit n = 2 of an atom. The wavelength of the emitted radiation’s is (R = Rydberg’s constant)

(1) 16R             

(2) 163R

(3) 165R             

(4) 167R

Subtopic:  Bohr's Model of Atom |
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If the energy of a hydrogen atom in nth orbit is En, then energy in the nth orbit of a singly ionized helium atom will be 

(1) 4En             

(2) En/4

(3) 2En             

(4) En/2

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The ground state energy of hydrogen atom is – 13.6 eV. What is the potential energy of the electron in this state

1. 0 eV                       

2. – 27.2 eV

3. 1 eV                       

4. 2 eV

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As the electron in Bohr orbit of Hydrogen atom passes from state n = 2 to n = 1 , the kinetic energy K and potential energy U change as 

(1) K two-fold, U four-fold

(2) K four-fold, U two-fold

(3) K four-fold, U also four-fold

(4) K two-fold, U also two-fold

Subtopic:  Bohr's Model of Atom |
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The magnetic moment μ of a revolving electron around the nucleus varies with principal quantum number n as

(1) μn            

(2) μ1/n

(3) μn2           

(4) μ1/n2

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Bohr's atom model assumes 

(1) The nucleus is of infinite mass and is at rest

(2) Electrons in a quantized orbit will not radiate energy

(3) Mass of electron remains constant

(4) All the above conditions

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The ratio of the speed of the electrons in the ground state of hydrogen to the speed of light in vacuum is

1. 1/2                2. 2/137
3. 1/137            4. 1/237

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In a hypothetical Bohr hydrogen, the mass of the electron is doubled. What will be the energy \(E_0\) and the radius \(r_0\) of the first orbit?
\((a_0\) is the Bohr radius) 
1. \(E_0=-27.2 ~\text{eV};~r_0={a}_0 / 2\)
2. \(E_0=-27.2 ~\text{eV}; ~r_0={a}_0\)
3. \(E_0=-13.6~\text{eV} ; ~r_0={a}_0 / 2\)
4. \(E_0=-13.6 ~\text{eV}; ~r_0={a}_0\)

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A double charged lithium atom is equivalent to hydrogen whose atomic number is 3. The wavelength of required radiation for exciting electron from first to third Bohr orbit in Li++ will be (Ionisation energy of hydrogen atom is 13.6eV) 
(a) 182.51 Å                 (b) 177.17 Å
(c) 142.25 Å                 (d) 113.74 Å

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The ionisation potential of H-atom is  13.6 V. When it is excited from ground state by monochromatic radiations of 970.6 A0, the number of emission lines will be (according to Bohr’s theory) 
(1) 10           

(2) 8

(3) 6             

(4) 4

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