Question:

$K_{\alpha} $ and $K_{\beta} x-$ rays are emitted when there is a transition of electron between the levels

Updated On: Apr 15, 2024
  • n = 2 to n = 1 and n = 3 to n = 1 respectively
  • n = 2 to n = 1 and n = 3 to n = 2 respectively
  • n = 3 to n = 2 and n = 4 to n = 2 respectively
  • n = 3 to n = 2 and n = 4 to n = 3 respectively
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The Correct Option is A

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When the colliding electron remove an electron from innermost $K$ - shell (corresponding to $n=1$ ) of atom and electron from some higher shell jumps to $K$ - shell to fill up this vacancy, characteristic $X$ - ray of $K$ - series are obtained
$\therefore K_{\alpha}$ and $K_{\beta} X$-rays are emitted when there is transition of electron between the levels $n=2$ to $n=1$ and $n=3$ to $n=1$ respectively.
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The distribution of electrons within an atomic subshell is described by the electron configuration.

Atomic electron configurations adhere to a standard nomenclature whereby all electrons that comprise atomic subshells are arranged in a sequence with their total number of electrons indicated by a superscript.

For instance, sodium's electron configuration is 1s2 2s2 2p6 3s1.

The four quantum numbers (n) that make up the definition of an electron in an atom, the most significant of which specifies the primary energy level known as a shell. 

The quantum numbers of the last orbital filled are used to identify an element's position in the periodic table.

The usual notation of electron configuration may be rather lengthy for big atomic numbers. In certain circumstances, an abridged or condensed notation may be employed in place of the conventional notation. 

In the shortened notation, the sequence of fully filled subshells that corresponds to a noble gas's electronic configuration is substituted by the gas's symbol enclosed in square brackets.

Because of this, sodium's electron configuration is [Ne]3s1 (in contrast to neon, whose electron configuration is 1s2 2s2 2p6, or [He]2s2 2p6).

 

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Concepts Used:

Electrostatic Potential

The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”

SI Unit of Electrostatic Potential:

SI unit of electrostatic potential - volt

Other units - statvolt

Symbol of electrostatic potential - V or φ

Dimensional formula - ML2T3I-1

Electric Potential Formula:

The electric potential energy of the system is given by the following formula:

U = 1/(4πεº) × [q1q2/d]

Where q1 and q2 are the two charges that are separated by the distance d.