Q10 of 26 Page 1

In the ground state of hydrogen atom, its Bohr radius is given as 5.33x10-11 m. The atom is excited such that the radius becomes 21.23x10-11 m. Find (i) the value of the principal quantum number and (ii) the total energy of the atom in this excited state.

OR


The energy levels of a hypothetical atom are shown below. Which of the shown transitions will result in the emission of photon of wavelength 275 nm?


Let the radius of the ground state be r0. Then, radius of subsequent levels is given by


Where, n is the principal quantum level.


Given, rn = 21.2 x 10-11 m, r0 = 5.3 x 10-11 m





Hence, the principal quantum number is 2.


The energy(E) is given by



here, n = 2



Hence, the energy is -3.4 eV.


OR



Given, wavelength,

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