Telangana Board Solutions for Chapter: Atoms, Exercise 1: MODEL QUESTIONS (IPE PATTERN)

Find the radius of the hydrogen atom in its ground state. Also calculate the velocity of the electron in $n = 1$ orbit. Given $h = 6.62\times {10}^{-34} \mathrm{Js}, \mathrm{m} = 9.1\times {10}^{-31} \mathrm{kg}, \mathrm{e} = 1.6\times {10}^{-19} \mathrm{C}, \mathrm{k} = 9\times {10}^9 {\mathrm{Nm}}^2{\mathrm{C}}^{-2}$.

Prove that the ionisation energy of hydrogen atom is $13.6 \mathrm{eV}$.

Calculate the ionisation energy for a lithium atom.

The wavelength of the first member of Lyman series is $1216 \mathrm{\AA }$. Calculate the wavelength of second member of Balmer series.

The wavelength of the first member of Balmer series is $6563 \mathrm{\AA }$. Calculate the wavelength of second member of Lyman series.

The second member of Lyman series in hydrogen spectrum has wavelength $5400 \mathrm{\AA }$. Find the wavelength of first member.

Calculate the shortest wavelength of Balmer series. Or calculate the wavelength of the Balmer series limit. Given: $R = 10970000 {\mathrm{m}}^{-1}$.

Using the Rydberg formula, calculate the wavelength of the first four spectral lines in the Balmer series of the hydrogen spectrum.