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Derive the relation between magnetic field intensity(H) and magnetization(M) for a magnetic material placed in a magnetic field.
Concept: Magnetisation and Magnetic Intensity
In Hydrogen, the electron jumps from the fourth orbit to the second orbit. The wavenumber of the radiations emitted by an electron is ______
Concept: Radioactive Decays
The speed of electron having de Broglie wavelength of 10 -10 m is ______
(me = 9.1 × 10-31 kg, h = 6.63 × 10-34 J-s)
Concept: Bohr’s Atomic Model
What is the energy of an electron in a hydrogen atom for n = ∞?
Concept: Bohr’s Atomic Model
Starting with 𝑟 = `(ε_0h^2n^2)/(pimZe^2),` Show that the speed of an electron in nth orbit varies inversely to principal quantum number.
Concept: Bohr’s Atomic Model
State any two limitations of Bohr’s model for the hydrogen atoms.
Concept: Bohr’s Atomic Model
Show that half life period of radioactive material varies inversely to decay constant λ.
Concept: Radioactive Decays
Calculate the longest wavelength in the Paschen series.
(Given RH =1.097 ×107 m-1)
Concept: Bohr’s Atomic Model
The angular momentum of an electron in the 3rd Bohr orbit of a Hydrogen atom is 3.165 × 10-34 kg m2/s. Calculate Plank’s constant h.
Concept: Bohr’s Atomic Model
The half-life of a certain radioactive nucleus is 3.2 days. Calculate (i) decay constant (ii) average life of radioactive nucleus.
Concept: Radioactive Decays
Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.
Concept: Bohr’s Atomic Model
Show that for radioactive decay N(t) = `"N"_"O" "e"^{-λ"t"}`, where symbols have their usual meaning.
Concept: Radioactive Decays
Obtain an expression for the half-lifetime of radioactive material. Hence state the relation between an average life and half life time of radioactive material.
Concept: Radioactive Decays
A radioactive substance decays to (1/10)th of its original value in 56 days. Calculate its decay constant.
Concept: Radioactive Decays
Calculate the shortest wavelength in the Paschen series if the longest wavelength in the Balmar series is 6563 Ao.
Concept: Bohr’s Atomic Model
State the postulates of Bohr’s atomic model. Hence show the energy of electrons varies inversely to the square of the principal quantum number.
Concept: Bohr’s Atomic Model
What is the mathematical formula for the third postulate of Bohr's atomic model?
Concept: Bohr’s Atomic Model
Determine the shortest wavelengths of Balmer and Pasch en series. Given the limit for the Lyman series is 912 Å.
Concept: Atomic Spectra
The disintegration rate of a radio-active sample is 1010 per hour at 20 hours from the start. It reduces to 5 × 109 per hour after 30 hours. Calculate the decay constant.
Concept: Radioactive Decays
State unit and dimensions of Magnetic susceptibility.
Concept: Magnetisation and Magnetic Intensity
