Given below are two statement:
Statement I: The energy of the \(\mathrm{He}^{+}\) ion in \(n=2\) state is same as the energy of H atom in \(n=1\) state
Statement II: It is possible to determine simultaneously the exact position and exact momentum of an electron in \(\mathrm{H}\) atom.

In the light of the above Statements, choose the correct answer from the options 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
Subtopic:  Bohr's Theory | Heisenberg Uncertainty Principle |
 73%
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NEET - 2024
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Which of the following is responsible to rule out the existence of definite paths or trajectories of electrons?

1. Pauli's exclusion principle

2. Heisenberg's uncertainty principle

3. Hund's rule of maximum multiplicity

4. Aufbau principle

Subtopic:  Heisenberg Uncertainty Principle |
 79%
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Assertion (A): It is impossible to determine the exact position and exact momentum of an electron simultaneously.
Reason (R): The path of an electron in an atom is clearly defined. 

  

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:  Heisenberg Uncertainty Principle |
 74%
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Uncertainty in position of a e- and He is similar. If uncertainty in momentum of e- is 32 ×105, then uncertainty in momentum of He will be:

1. 32 × 105 2. 16×105
3. 8 × 105 4. None of the above
Subtopic:  Heisenberg Uncertainty Principle |
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From NCERT
AIPMT - 1998
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A ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within the accuracy of 2%, then the uncertainty in the position:

1. 1.46×10-33m

2. 1.46×10-30m

3. 1.7×10-31m

4. 2.5×10-33m

Subtopic:  Heisenberg Uncertainty Principle |
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A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 Å. The uncertainty involved in the measurement of its velocity is :

1. 5.79×106 m s–1

2. 57.9×106 m s–1

3. 5.79×107 m s–1

4. 57.9×107 m s–1

Subtopic:  Heisenberg Uncertainty Principle |
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A golf ball has a mass of 40g, and a speed of 45 m/s. If the speed can be measured within the accuracy of 2%, the uncertainty in the position is:

1. 14.6×10–23 m

2. 14.6×10–33 m

3. 1.46×10–23 m

4. 1.46×10–33 m

Subtopic:  Heisenberg Uncertainty Principle |
 64%
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If the position of the electron were measured with an accuracy of +0.002 nm, the uncertainty in the momentum of the electron would be: 

1. 5.637 × 10–23 kg m s–1

2. 4.637 × 10–23 kg m s–1

3. 2.637 × 10–23 kg m s–1

4. 3.637 × 10–23 kg m s–1

Subtopic:  Heisenberg Uncertainty Principle |
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