Given below are two statements:
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.
 
1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true and Statement II is false
4. Statement I is false, and Statement II is true
Subtopic:  Bohr's Theory | Heisenberg Uncertainty Principle |
 66%
Level 2: 60%+
NEET - 2024
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If uncertainty in position and momentum are equal, then the uncertainty in velocity is:

1. 12mhπ

2. h2π

3. 1mhπ

4. hπ

Subtopic:  Heisenberg Uncertainty Principle |
 81%
Level 1: 80%+
AIPMT - 2008
Hints

The measurement of the electron position is associated with
uncertainty in momentum,
which is equal to 1 x 10-18 g cm s-1.
The uncertainty in electron velocity will be
(mass of an electron is 9 x 10-28 g)-
 

1. 2 x 109 cm s-1
2. 1 x 109 cm s-1
3. 1 x 105 cms-1
4. 1 x 1011 cm s-1

Subtopic:  Heisenberg Uncertainty Principle |
 71%
Level 2: 60%+
AIPMT - 2008
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If the mass of electron is 9.11×10-31 kg  and the planck's constant is 6.626 ×10-34 Js, then the uncertainty involved in the measurement of velocity within a distance of 0.1 Å is:

1. 5.79×106 ms-1

2. 5.79×107 ms-1

3. 5.79×108 ms-1

4. 5.79×105 ms-1

Subtopic:  Heisenberg Uncertainty Principle |
 54%
Level 3: 35%-60%
AIPMT - 2006
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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 |
 79%
Level 2: 60%+
AIPMT - 1998
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