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A hydrogen atom is in its third excited ...

A hydrogen atom is in its third excited state.
(a) How many spectral lines can be emitted by it before coming to the ground state ? Show these transitions in the energy level diagram.
(b) In which of the above transitions will the spectral line of shortest wavelength be emitted ?

Text Solution

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The correct Answer is:
a
(a) Conduction electrons in a conductor behave as an electron gas, as a result of which the conduction electrons move randomly within the conductor. The order of random velocity of electrons is of the order of `10^(6) m s^(-1)`.
The drift velocity of electrons in a conductor is the average velocity acquired by conduction electrons, on applying an external electric field, in the direction opposite to that of electric field. Its magnitude is of the order of `10^(-4) m s^(-1)`.
(b) We know that `vecJ=-"ne"vecv_(d)` and for a given conductor .n. is a constant.
Thus J`propv_(d)`. Hence, `v_(d)`-J graph is a straight line as shown here.
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