The energy of an electron is given by E = – 2.178 × 1018JZ2n2 Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be:
(h = 6.62 × 10–34 Js and c = 3.0 × 108 ms–1)

1. 6.500 × 10–7 m

2. 8.500 × 10–7 m

3. 1.214 × 10–7 m

4. 2.816 × 10–7 m

Subtopic:  Hydrogen Spectra |
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The correct relation between the radius of 3rd and 4th Bohr orbit for H-atom is:

1.  \(\frac{r_3}{r_4}=\frac{16}{9} \)
2.  \(\frac{r_3}{r_4}=\frac{9}{16} \)
3.  \(\frac{r_3}{r_4}=\frac{9}{4} \)
4.  \(\frac{r_3}{r_4}=\frac{3}{16} \)
Subtopic:  Hydrogen Spectra |
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Given below are two statements:
Statement I:  h\(\)v = (E2-E1) absorbs a photon.
Statement II:  hv = (E2-E1) = emitted a photon.
 In the light of the above statements, choose the correct answer from the option given below:

1. Both Statement I and Statement II are true.
2. Both Statement I and Statement II are false.
3. Statement I is true but Statement II is false.
4. Statement I is false but Statement II is true.
Subtopic:  Bohr's Theory | Hydrogen Spectra |
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With a ground state energy of –13.6 eV for a hydrogen atom, what would be the energy in the second excited state?

1.  –6.8 eV 

2. –3.4 eV 

3. –1.51 eV 

4. –4.53 eV 

Subtopic:  Hydrogen Spectra |
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The shortest wavelength in the Lyman series of H-atom is λ. and the longest wavelength in the Balmer series of He+ is \(\frac{x\lambda}5\).
The value of x is: 
1. 7
2. 11
3. 13
4. 9
Subtopic:  Hydrogen Spectra |
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The radius of the second orbit of the \(\text{Li}^{2+}\) ion is x. What will be the radius of the third orbit of the \(\text{Be}^{3+}\) ion?
1. \(\dfrac{27 x}{16}\) 2. \(\dfrac{16 x}{27}\)
3. \(\dfrac{4 x}{3}\) 4. \(\dfrac{3 x}{4}\)
Subtopic:  Hydrogen Spectra |
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A hydrogen atom in its ground state absorbs 12.75 eV of energy. The orbital angular momentum of the electron becomes \(\frac{nh}{2\pi}\). What is the value of n?

1. 3
2. 4
3. 5
4. 2
Subtopic:  Hydrogen Spectra |
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An electron in \(Be^{3+} \) goes from n=4 to n=2 . The amount of energy released in eV is:
(Ground state energy of H- atom = 13.6 eV)

1. 40.8 eV
2. 122.4 eV
3. 217. 6 eV
4. 21.17 eV
Subtopic:  Hydrogen Spectra |
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The ionization energy of a hydrogen atom is 13.6 eV. What is the ionization energy of a Li²⁺ ion?
1. 54.4 eV 2. 122.4 eV
3. 13.6 eV 4. 3.4 eV
Subtopic:  Hydrogen Spectra |
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The shortest wavelength of the Paschen series for H-atom is:
1. \(\dfrac{9}{R}\) 2. \(\dfrac{16}{R}\)
3. \(\dfrac{144}{7 R}\) 4. \(\dfrac{7 R}{144}\)
Subtopic:  Hydrogen Spectra |
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