Structure of Atoms and Nuclei Physics - Structure of Atoms and Nuclei

Calculate the minimum energy required to take an electron from the ground state to the first excited state in hydrogen atom.

What is the mathematical formula for third postulate of Bohr's atomic model?

State the name of the visible series in hydrogen spectrum.

The half-life of a nuclear species is 1.386 years. Calculate its decay constant per year.

What is the expression for minimum angular momentum of electron in hydrogen atom?

State any two limitations of Bohr's atomic model?

In a hydrogen atom, an electron carrying charge 'e' revolves in an orbit of radius 'r' with speed 'v'. Obtain an expression for the magnitude of magnetic moment of a revolving electron

Calculate the de Broglie wavelength of an electron moving with \(\left(\frac{1}{3}\right)^{\text {rd }}\) of the speed of light in vacuum. (Neglect relativistic effect) (Planck's constant : \(h=6.63 \times 10^{-34} Js\), Mass of electron : \(m=9.11 \times 10^{-28} g\) )

The velocity of electron in the \(1^{\text {st }}\) Bohr-orbit having radius 0.53Å is \(2200 km / s\). Calculate the frequency of revolution of electron in the same orbit.

Using an expression for energy of electron, obtain the Bohr's formula for hydrogen spectral lines.

An electron in an atom revolves around the nucleus in an orbit of radius 0.53Å . If the frequency of revolution of an electron is \(9 \times 10^9 MHz\). Calculate the orbital angular momentum.
[Given : Charge on an electron \(=1.6 \times 10^{-19} C ;\) Gyromagnetic ratio \(=8.8 \times 10^{10} C / kg ; \pi=3.142\) ]

Calculate the wavelength of \(H _\gamma\) line and series limit for Brackett series.

Derive an expression for the total energy of electron in 'n'th Bohr orbit. Hence show that energy of the electron is inversely proportional to the square of principal quantum number. Also define binding energy.

Write notes on: (a) Nuclear fission (b) Nuclear fusion.

Draw a neat and labelled energy level diagram and explain Balmer series and Brackett series of spectral lines for hydrogen atom.

Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.