In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:

1. $\frac{4}{9}$

2. $\frac{9}{4}$

3. $\frac{27}{5}$

4. $\frac{5}{27}$

Subtopic:  Spectral Series |
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Consider 3rd orbit of He+ (Helium). Using non-relativistic approach, the speed of the electron in this orbit will be: (given Z = 2 and h (Planck's constant)= 6.6 x 10-34 J-s)

1. 2.92 x106 m/s
2. 1.46 x106 m/s
3. 0.73 x106 m/s
4. 3.0 x108 m/s

Subtopic:  Bohr's Model of Atom |
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The hydrogen gas with its atoms in the ground state is excited by monochromatic radiation of λ = 975 Å. The number of spectral lines in the resulting spectrum emitted will be :

1. 3

2. 2

3. 6

4. 10

Subtopic:  Spectral Series |
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The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:

1. 3/23

2. 7/29

3. 9/31

4. 5/27

Subtopic:  Spectral Series |
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Electron in hydrogen atom first jumps from third excited state to second excited state and then from second excited to the first excited state. The ratio of the wavelengths ${\mathrm{\lambda }}_{1}:{\mathrm{\lambda }}_{2}$ emitted in the two cases is

1. 7/5

2. 20/7

3. 27/5

4. 27/20

Subtopic:  Bohr's Model of Atom |
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An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be
(m is the mass of hydrogen atom, R is Rydberg constant and h is Plank’s constant)

1. $\frac{24m}{25hR}$

2. $\frac{25hR}{24m}$

3. $\frac{25m}{24hR}$

4.$\frac{24hR}{25m}$

Subtopic:  Bohr's Model of Atom |
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Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is

1. 4X1015 Hz

2. 5X1015 Hz

3. 1.6X1015 Hz

4. 2.5X1015 Hz

Subtopic:  Bohr's Model of Atom |
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The transition from the state n = 3 to n = 1 in a hydrogen like atom results in  ultraviolet radiation. Infrared radiation will be obtained in the transition from -

1.  $3\to 2$

2.  $4\to 2$

3.  $4\to 3$

4.  $2\to 1$

Subtopic:  Spectral Series |
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The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The atomic number Z of hydrogen-like ion is:

1.  4
2.  1
3.  2
4.  3
Subtopic:  Spectral Series |
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An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a
photosensitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10V, then the value of n is:
1. 2
2. 3
3. 4
4. 5

Subtopic:  Bohr's Model of Atom |
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