| Statement I: | The value of wave function, \(\Psi\) depends upon the coordinates of the electron in the atom. |
| Statement II: | The probability of finding an electron at a point within an atom is proportional to the orbital wave function. |
| 1. | Statement I is True but Statement II is False. |
| 2. | Statement I is False but Statement II is True. |
| 3. | Both Statement I and Statement II are True. |
| 4. | Both Statement I and Statement II are False. |
| 1. | \(n_m = l+2\) | 2. | \(l = {\dfrac{n_m -1} 2}\) |
| 3. | \(l= 2n_m +1\) | 4. | \(n_m = 2l^2 + 1 \) |
| List-I (quantum number) |
List-II (Orbital) |
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| (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 |
| (A) | (B) | (C) | (D) | |
| 1. | (III) | (IV) | (I) | (II) |
| 2. | (IV) | (III) | (I) | (II) |
| 3. | (IV) | (III) | (II) | (I) |
| 4. | (III) | (IV) | (II) | (I) |
A monochromatic infrared range finder of power 1 milliwatt emits photons with a wavelength of 1000 nm in 0.1 seconds. The number of photons emitted in 0.1 seconds 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. \(5 \times 10^{11} \)
Which one of the following electrons in the ground state will have the 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. |
| 1. | 158.7 Å | 2. | 158.7 pm |
| 3. | 15.87 pm | 4. | 1.587 pm |
| 1. | \(-\dfrac x9\) | 2. | \(-4x\) |
| 3. | \(-\dfrac 49x\) | 4. | \(-x\) |
| List-I Quantum Number |
List-II Information provided |
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| A. | ml | I. | Shape of the orbital |
| B. | ms | II. | Size of the orbital |
| C. | l | III. | Orientation of the orbital |
| D. | n | IV. | Orientation of spin of the electron |
| 1. | A-III, B-IV, C-I, D-II | 2. | A-III, B-IV, C-II, D-I |
| 3. | A-II, B-I, C-IV, D-III | 4. | A-I, B-III, C-II, D-IV |