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?

If an alpha nucleus of energy $\frac{1}{2}m{v}^2$ bombards a heavy nuclear target of charge Ze, then the distance of closest approach for the alpha nucleus will be proportional to:

The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:

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 n^th 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. $\frac{1}{4}$

2. $\frac{4}{9}$

3. $\frac{9}{4}$

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