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Q. No.How many sets of quantum numbers are possible?
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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If the work function of a metal is 6.63 × 10–19J, the maximum wavelength of the photon required to remove a photoelectron from the metal is :
(Given h = 6.63 × 10–34 J sec)
1. 280 nm
2. 310 nm
3. 300 nm
4. 290 nm
(Given h = 6.63 × 10–34 J sec)
1. 280 nm
2. 310 nm
3. 300 nm
4. 290 nm
Subtopic: Planck's Theory |
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An electron shows the transition from lower Bohr's atomic orbit to a higher orbit, then comment on potential energy (P.E), kinetic energy (K.E.), and total energy(T.E) of the electron .
1. All three are increase
2. All three are decreased
3. P.E. and T.E. increase while K.E. decrease
4. P.E. and T.E. decrease while K.E. increase
1. All three are increase
2. All three are decreased
3. P.E. and T.E. increase while K.E. decrease
4. P.E. and T.E. decrease while K.E. increase
Subtopic: Hydrogen Spectra |
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Hints
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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Find the number of radial nodes and angular nodes in 4d orbital, respectively.
| 1. | 1 and 2 | 2. | 3 and 3 |
| 3. | 1 and 0 | 4. | 2 and 1 |
Subtopic: Nodal Plane |
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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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The threshold frequency of a metal is \(1.4 \times 10^{15}sec^{-1}\). Calculate the minimum energy required to eject a photoelectron from this metal.
[Given: Planck’s constant, \(h = 6.6 \times 10^{-34} J sec\)]
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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