Which one of the relation is correct between time period and number of orbits while an electron is revolving in a orbit

(1) n2             

(2) 1n2

(3) n3             

(4) 1n

Subtopic:  Bohr's Model of Atom |
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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

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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

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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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