The ratio of the total acceleration of the electron in a singly ionised helium atom and a hydrogen atom (both in the ground state) is:
1. 1
2. 8
3. 4
4. 16
An electron revolves around a nucleus of charge Ze. In order to excite the electron from the state n=3 to n=4, the energy required is 66.0 eV. The value of Z will be:
1. 25
2. 10
3. 4
4. 5
How much is the total energy of an electron in the first orbit of a hydrogen atom equal to?
1. | total energy of electron in 1st orbit of \(\mathrm{He}^{+}\) |
2. | total energy of electron in 3rd orbit of \(\mathrm{He}^{+}\) |
3. | total energy of electron in 2nd orbit of \(\mathrm{Li}^{++}\) |
4. | total energy of electron in 3rd orbit of \(\mathrm{Li}^{++}\) |
If an alpha nucleus of energy bombards a heavy nuclear target of charge Ze, then the distance of closest approach for the alpha nucleus will be proportional to:
1. | \(\frac{1}{Ze} \) | 2. | \(v^2 \) |
3. | \(\frac{1}{m} \) | 4. | \(\frac{1}{v^4}\) |
The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
1. | \(\frac{3}{23}\) | 2. | \(\frac{7}{29}\) |
3. | \(\frac{9}{31}\) | 4. | \(\frac{5}{27}\) |
What is the ratio of the circumference of the first Bohr orbit for the electron in the hydrogen atom to the de-Broglie wavelength of electrons having the same velocity as the electron in the first Bohr orbit of the hydrogen atom?
1. 1:1
2. 1:2
3. 1:4
4. 2:1
Given that the value of the Rydberg constant is \(10^{7}~\text{m}^{-1}\), what will be the wave number of the last line of the Balmer series in the hydrogen spectrum?
1. \(0.5 \times 10^{7}~\text{m}^{-1}\)
2. \(0.25 \times 10^{7} ~\text{m}^{-1}\)
3. \(2.5 \times 10^{7}~\text{m}^{-1}\)
4. \(0.025 \times 10^{4} ~\text{m}^{-1}\)
The difference between nth and (n+1)th Bohr's radius of the 'H' atom is equal to its (n - 1)th Bohr's radius. What is the value of n?
1. 1
2. 2
3. 3
4. 4
What is the ratio of the energies of the hydrogen atom in its first and second excited states?
1.
2.
3.
4. 4
Which of the following transitions gives a photon the maximum energy?
1. n = 1 to n = 2
2. n = 2 to n = 1
3. n = 2 to n = 6
4. n = 6 to n = 2