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^Rydberg’s formula

^Rydberg’s formula

Let ‘E’ be the energy & λ be the wavelength of the photon released when an electron jumps from a higher quantum state of principal quantum number n2 to a lower quantum state having principal quantum number n1, then

Note Rydberg’s constant depends on mass of

Electron, thus it is not a universal constant.

In deriving the above value the nucleus is assumed to be at rest. However if nucleus is not assumed stationary then the Rydberg constant depends on both mass of electron & nucleus & is given by

^Bohr’s frequency condition

^Bohr’s frequency condition

Energy is emitted only when an electron exited to the higher states jumps back to lower states. The energy emitted is described by the relation

h f = E1 – E2

Ionization energy = +13.6 eV Z2

^Force, F

^Force, F

A push or a pull or an agent that breaks the inertia (tendency of opposition) changes its state from rest to motion or from motion to rest or from moving in one direction to other or accelerates it.

^Energy level diagram

^Energy level diagram

With the increase in the value of principle quantum number n

(a) r, L, T, U & E all increase while

(b) v, K, & w all decrease.

^Energy in nth orbit

^Energy in nth orbit

Here the -ve sign of energy shows that electron is bound to the nucleus & is not free.

The binding energy of the electron in the ground state of the H-atom is called Rydberg. i.e.

1Rydberg = 13.6 eV

^Magnetic moment generated

^Magnetic moment generated

^Current generated

^Current generated

^Frequency of revolution

^Frequency of revolution

For n = 1, Z = 1; f = 6.57 x 1015 revolutions/s

^Velocity of electron in nth orbit

^Velocity of electron in nth orbit

^Radius of nth orbit

^Radius of nth orbit

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