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Q. No.The numbers of angular and radial nodes in a 4d orbital are respectively:
1. 2, 1
2. 1, 2
3. 3, 1
4. 1, 3
Subtopic: Nodal Plane |
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Given that the threshold frequency of the metal is \(1.4 \times 10^{15}sec^{-1}\), what is the minimum energy required to eject a photoelectron from the metal?
[given: \(h = 6.6 \times 10^{-34} J sec\)]
1. \(9.24 \times 10^{-19}J \)
2. \(9.24 \times 10^{-18}J \)
3. \(4.62 \times 10^{-19}J \)
4. \(4.62 \times 10^{-18}J \)
[given: \(h = 6.6 \times 10^{-34} J sec\)]
1. \(9.24 \times 10^{-19}J \)
2. \(9.24 \times 10^{-18}J \)
3. \(4.62 \times 10^{-19}J \)
4. \(4.62 \times 10^{-18}J \)
Subtopic: Photo Electric Effect |
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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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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 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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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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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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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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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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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
The value of x is:
1. 7
2. 11
3. 13
4. 9
Subtopic: Hydrogen Spectra |
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