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Q. No.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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Consider the ground state of Cr atom (Z=24). The numbers of electrons with the azimuthal quantum numbers, l=1 and 2 are, respectively:
1. 12 and 4
2. 12 and 5
3. 16 and 4
4. 16 and 5
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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According to Bohr's theory, what is the angular momentum of an electron located in the fifth orbit?
1.
2.
3.
4.
Subtopic: Bohr's Theory |
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Uncertainty in the position of a moving particle is 10-7 m and uncertainty velocity is 2.4 × 10-24 m/sec, then the mass of a particle is [X] × 10-5 kg.The value of X is:
[Report your answer to the nearest integer]
1. 26
2. 19
3. 28
4. 22
[Report your answer to the nearest integer]
1. 26
2. 19
3. 28
4. 22
Subtopic: Heisenberg Uncertainty Principle |
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How many sets of quantum numbers are possible?
1. 0
2. 1
3. 2
4. 3
| n | l | m | |
| (a). | 2 | 2 | 1 |
| (b). | 3 | 2 | -2 |
| (c). | 3 | 2 | -1 |
| (d). | 2 | 1 | -1 |
1. 0
2. 1
3. 2
4. 3
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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Given below are two statements:
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.
| Statement I: |  h\(\)v = (E2-E1) absorbs a photon. |
| Statement II: |  hv = (E2-E1) = emitted a photon. |
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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The set of a quantum number that represents degenerate orbitals is:
1. a
2. b
3. c
4. a, b
| a. | \( \small{n=3, \ell=2, m=0, s=\frac{-1}{2} \,\& \ \,n=3, \ell=2, m=-1, s=\frac{+1}{2}}\) |
| b. | \(\small{n=2, \ell=1, m=1 , \ s=\frac{-1}{2}\, \&\, \ n=3, \ell=1, m=1 \mathrm{~s}=\frac{+1}{2}}\) |
| c. | \(\small{n=4, \ell=2, m=-1, s=\frac{1}{2}\, \&\, \ n=3, \ell=2, m=-1, s=\frac{1}{2}}\) |
1. a
2. b
3. c
4. a, b
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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The total energy of 1 mol of photons in J/mol having \(\lambda = 600 \ nm \) is:
Given: \(h = 6.62 \times 10^{-34} \mathrm{~J} \ \mathrm{sec}, \mathrm{c}=3 \times 10^{8} \mathrm{~m \ s}^{-1}\)
1. \(2 \times 10^5 J/mol\)
2. \(6.64 \times 10^8 J/mol\)
3. \(1.24 \times 10^4 J/mol\)
4. \(1.24 \times 10^8 J/mol\)
Given: \(h = 6.62 \times 10^{-34} \mathrm{~J} \ \mathrm{sec}, \mathrm{c}=3 \times 10^{8} \mathrm{~m \ s}^{-1}\)
1. \(2 \times 10^5 J/mol\)
2. \(6.64 \times 10^8 J/mol\)
3. \(1.24 \times 10^4 J/mol\)
4. \(1.24 \times 10^8 J/mol\)
Subtopic: Electromagnetic Radiation |
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Using the following statements, identify the correct set of statements:
1. (i), (ii), (iii)
2. (i), (ii), (iv)
3. (i), (ii), (iii), (iv)
4. (i), (iii), (iv)
| (i). | n (principal quantum number) can have values 1, 2, 3, 4, ....... |
| (ii). | The number of orbitals for a given value of l is (2l+1). |
| (iii). | The value of spin quantum numbers is always \(\pm\frac12\). |
| (iv). | For l=5, the total number of orbitals is 9. |
1. (i), (ii), (iii)
2. (i), (ii), (iv)
3. (i), (ii), (iii), (iv)
4. (i), (iii), (iv)
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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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. \(\frac{r_3}{r_4}=\frac{3}{16} \)
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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