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. |
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
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. |
Uncertainty in position of a and He is similar. If uncertainty in momentum of is , then uncertainty in momentum of He will be:
1. | 32 × 105 | 2. | 16×105 |
3. | 8 × 105 | 4. | None of the above |
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.
2.
3.
4.
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
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
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