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Q. No.The principle that describes our inability to precisely determine both the position and momentum of a subatomic particle simultaneously is known as:
1. Rydberg equation2. Heisenberg uncertainty principle
3. Hund's rule
4. Pauli exclusion principle
Subtopic: Heisenberg Uncertainty Principle |
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The Heisenberg Uncertainty Principle states that it is impossible to simultaneously know both the exact position (x) and exact momentum (p) of a particle with arbitrary precision.
Mathematically, it is expressed as
1. \(\Delta x \geq \frac{\Delta p \times h}{4 \pi} \)2. \(\Delta x \times \Delta p \geq \frac{h}{4 \pi} \)
3. \(\Delta x \times \Delta p < \frac{h}{4\pi} \)
4. \(\Delta p \geq \frac{\pi h}{\Delta x} \)
Subtopic: Heisenberg Uncertainty Principle |
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Match Column-I (parameters) with Column-II (expressions) and mark the appropriate choice:
1. (A)→(iii), (B)→(iv), (C)→(i), (D)→(ii)
2. (A)→(ii), (B)→(i), (C)→(iv), (D)→(iii)
3. (A)→(iv), (B)→(iii), (C)→(i), (D)→(ii)
4. (A)→(i), (B)→(ii), (C)→(iv), (D)→(iii)
| Column-I (Parameters) |
Column-II (Expressions) |
||
| (A) | Uncertainty of an object | (i) | \({5.29 \times n^2} \over Z\) |
| (B) | Bohr's radius of an orbit | (ii) | \(h \over 4 \pi m\) |
| (C) | The angular momentum of an electron | (iii) | \(h \over mv\) |
| (D) | de Broglie wavelength | (iv) | \(n . { h \over 2 \pi}\) |
1. (A)→(iii), (B)→(iv), (C)→(i), (D)→(ii)
2. (A)→(ii), (B)→(i), (C)→(iv), (D)→(iii)
3. (A)→(iv), (B)→(iii), (C)→(i), (D)→(ii)
4. (A)→(i), (B)→(ii), (C)→(iv), (D)→(iii)
Subtopic: Bohr's Theory | Heisenberg Uncertainty Principle | De Broglie Equation |
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If uncertainty in position and momentum are equal, then the minimum uncertainty in velocity will be:
| 1. | \(\dfrac{1}{m} \sqrt{\dfrac{h}{\pi}} \) | 2. | \(\sqrt{\dfrac{h}{\pi}} \) |
| 3. | \(\dfrac{1}{2 m} \sqrt{\dfrac{h}{\pi}} \) | 4. | \(\dfrac{h}{4 \pi} \) |
Subtopic: Heisenberg Uncertainty Principle |
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