Positronium is an unstable complex of electron and positron, both of the same mass, but opposite charge. Apply Bohr's theory of hydrogen atom to this system and obtain the energy required to separate the electron from the positron.

(ionization energy of the ground state hydrogen atom\(= 13.62~\text{eV.}\)) Express the result in \(\text{KJmol}^{-1}\)

1. \(550 ~\text{KJmol}^{-1}\)

2. \(657 ~\text{KJmol}^{-1}\)

3. \(851 ~\text{KJmol}^{-1}\)

4. \(720 ~\text{KJmol}^{-1}\)

The total spin resulting for a 3d⁷ configuration is 

1. 3/2

2. 1/2

3. 2

4. 1

Supposing the energy of the fourth shell for the hydrogen atom is -50a.u. (Arbitrary unit). What would be its ionization potential-

1. 50

2. 800

3. 15.4

4. 20.8

An element with atomic mass Z consists of two isotopes of mass number Z-1 and Z + 2. The percentage abundance of the heavier isotope is -

1. 0.25

2. 33.3

3. 66.6

4. 75

Two isotopes of Boron are found in the nature with atomic weights 10.01(I) and 11.01(II). The atomic weight of natural Boron is 10.81. The percentage of (I) and (II) isotopes in it are respectively-

1. 20 and 80

2. 10 and 90

3. 15 and 75

4. 30 and 70

Calculate the wavenumber of lines having the frequency of 5 x 10¹⁶ cycles per sec. 

1. 1.666 x 10⁸m^-1 

2. 0.666 x 10⁸m^-1

3. 4.126 x 10⁶m^-1

4. 3.133 x 10⁴m^-1

Which of the following set of quantum number is not valid

1. n = 1 , $\mathcal{l}$ = 2

2. n=2, m = 1

3. n =3, $\mathcal{l}$ = 0

4. n = 4, $\mathcal{l}$ = 2

For particles having same kinetic energy, the de Broglie wavelength is-

1. Directly proportional to its velocity

2. Inversely proportional to its velocity

3. Independent of velocity and mass

4. Unpredictable

Photochemical dissociation of oxygen results in the production of two oxygen atoms, one in the ground state and one in the excited state.

O₂ $\stackrel{\mathrm{hv}}{\to }$ O→O*

The maximum wavelength () needed for this is 174 nm. If the excitation energy O→O* is 3.15 x 10^-19 J. How much energy in kJ mole^-1 is needed for the dissociation of one mole of oxygen into normal atoms in ground state?

1. 498.3 kJ mol^-1

2. 418.3 kJ mol^-1

3. 524.1 kJ mol^-1

4. 612.8 kJ mol^-1

Rutherford's scattering experiment is related to the size of the-

1. Nucleus

2. Atom

3. Electron

4. Neutron