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Q. No.If radius of second Bohr orbit of the \(He^+\) ion is 105.8 pm, what is the radius of third Bohr orbit of \(Li^{2+}\) ion?
1.
158.7 Å
2.
158.7 pm
3.
15.87 pm
4.
1.587 pm
Subtopic: Hydrogen Spectra |
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Which one of the following electrons in the ground state will have least amount of energy?
| 1. | An electron in hydrogen atom. |
| 2. | An electron in 2p orbital of carbon atom. |
| 3. | The electron of copper atom present in 4s orbital. |
| 4. | The outermost electron in sodium atom. |
Subtopic: AUFBAU Principle |
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A monochromatic infrared range finder of power 1milli watt emits photons with wavelength 1000 nm in 0.1 second. The number of photons emitted in 0.1 second is:
(Given: h = \(6.626 \times 10^{-34} J~s\) , c = \(3 \times 10^8 m~s^{-1}, \) Avogadro number = \(6.022 \times 10^{23}\))
1. \(30 \times 10^{37}\)
2. \(5 \times 10^{14} \)
3. \(30 \times 10^{34} \)
4. \(5 \times 10^{11} \)
Subtopic: Electromagnetic Radiation |
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| Assertion (A): | Half-filled and fully-filled degenerate orbitals are more stable. |
| Reason (R): | Extra stability is due to the symmetrical distribution of electrons and high exchange energy. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Shell & Subshell |
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| Assertion (A): | Helium and berylium having the similar outer electronic configuration of type \(ns^2\). |
| Reason (R): | Both are chemically inert. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: AUFBAU Principle |
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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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Given below is the probability density graph of an orbital.
The above graph represents the orbital:
1. 1s
2. 2s
3. 2p
4. 3s
The above graph represents the orbital:
1. 1s
2. 2s
3. 2p
4. 3s
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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Match List-I with List-II:
Choose the correct answer from the options given below:
| List-I (quantum number) |
List-II (Orbital) |
||
| (A) | n = 2, \(\ell\) = 1 | (I) | 2s |
| (B) | n = 3, \(\ell\) = 2 | (II) | 3s |
| (C) | n = 3, \(\ell\) = 0 | (III) | 2p |
| (D) | n = 2, \(\ell\) = 0 | (IV) | 3d |
Choose the correct answer from the options given below:
| (A) | (B) | (C) | (D) | |
| 1. | (III) | (IV) | (I) | (II) |
| 2. | (IV) | (III) | (I) | (II) |
| 3. | (IV) | (III) | (II) | (I) |
| 4. | (III) | (IV) | (II) | (I) |
Subtopic: Shell & Subshell |
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When electromagnetic radiation of wavelength 300 nm falls on the surface of a metal, electrons are emitted with the kinetic energy of 1.68 × 105 J mol–1. The minimum energy needed to remove one mole of electron from the metal is:
(h = 6.626 × 10–34 Js, c = 3 × 108 ms–1, NA = 6.022 × 1023 mol–1)
1. 2.31 × 106 J mol–1
2. 3.84 × 104 J mol–1
3. 3.84 × 10–19 J mol–1
4. 2.31 × 105 J mol–1
(h = 6.626 × 10–34 Js, c = 3 × 108 ms–1, NA = 6.022 × 1023 mol–1)
1. 2.31 × 106 J mol–1
2. 3.84 × 104 J mol–1
3. 3.84 × 10–19 J mol–1
4. 2.31 × 105 J mol–1
Subtopic: Photo Electric Effect |
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The threshold frequency \((\nu_0)\) for metal is \(6.0 × 10^{14}~\text {sec}^{-1}\). When radiation of frequency, \(\nu = 1.0 × 10^{15}~\text {sec}^{-1} \) hits the metal, the kinetic energy of the electron emitted is:
[Given: h = 6.62 × 10-34 Js]
1. 3.65 × 10–19 J
2. 2.65 × 10–19 J
3. 1.95 × 10–19 J
4. 2.95 × 10–20 J
[Given: h = 6.62 × 10-34 Js]
1. 3.65 × 10–19 J
2. 2.65 × 10–19 J
3. 1.95 × 10–19 J
4. 2.95 × 10–20 J
Subtopic: Photo Electric Effect |
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