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 3^{rd} 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 x10^{6} m/s

2. 1.46 x10^{6} m/s

3. 0.73 x10^{6} m/s

4. 3.0 x10^{8} m/s

2. 1.46 x10

3. 0.73 x10

4. 3.0 x10

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. 4X10^{15} Hz

2. 5X10^{15} Hz

3. 1.6X10^{15} Hz

4. 2.5X10^{15} 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

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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