Which of the following transitions will the wavelength be minimum?
1. \(n=5~\text{to}~n=4\)
2. \(n=4~\text{to}~n=3\)
3. \(n=3~\text{to}~n=2\)
4. \(n=2~\text{to}~n=1\)
In which of the following systems will the wavelength corresponding to \(n=2\) to \(n=1\) be minimum?
1. | hydrogen atom |
2. | deuterium atom |
3. | singly ionized helium |
4. | doubly ionized lithium |
The minimum orbital angular momentum of the electron in a hydrogen atom is:
1. \(h\)
2. \(h/2\)
3. \(h/2\pi\)
4. \(h/ \lambda\)
1. | \(-3.4~\text{eV}\) | 2. | \(-6.8~\text{eV}\) |
3. | \(-10.2~\text{eV}\) | 4. | \(-13.6~\text{eV}\) |
1. | 2 possible energy values. |
2. | 3 possible energy values. |
3. | 4 possible energy values. |
4. | 5 possible energy values. |
Taking the bohr radius as \(a_0=53\) pm, the radius of Li++ ion in its ground state on the basis of bohr's model will be about:
1. \(153\) pm
2. \(27\) pm
3. \(18\) pm
4. \(13\) pm
Let \(L_1\) and \(L_2\) be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio \(L_1:L_2\) is:
1. \(1:2\)
2. \(2:1\)
3. \(3:2\)
4. \(2:3\)
Statement I: | \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n^3.\) | The time period of revolution of an electron in its
Statement II: | \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n.\) | The kinetic energy of an electron in its
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |