In the characteristic X-ray spectra of an ato | vedclass

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(C) In the characteristic $X$-ray spectrum, the $K_{\alpha}$ line corresponds to the transition from the $L$-shell $(n=2)$ to the $K$-shell $(n=1)$, w

Vedclass · Accepted Answer

$P$ and $Q$ represent the $K_{\alpha}$ and $K_{\beta}$ lines, respectively.

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(C) In the characteristic $X$-ray spectrum, the $K_{\alpha}$ line corresponds to the transition from the $L$-shell $(n=2)$ to the $K$-shell $(n=1)$, while the $K_{\beta}$ line corresponds to the transition from the $M$-shell $(n=3)$ to the $K$-shell $(n=1)$.Since the energy of the $K_{\beta}$ transition $(E_{K\beta} = E_M - E_K)$ is greater than the energy of the $K_{\alpha}$ transition $(E_{K\alpha} = E_L - E_K)$, the wavelength of the $K_{\beta}$ line $(\lambda_{K\beta} = hc / E_{K\beta})$ is shorter than the wavelength of the $K_{\alpha}$ line $(\lambda_{K\alpha} = hc / E_{K\alpha})$.In the given graph, the $x$-axis represents the wavelength $\lambda$. Since peak $P$ is at a longer wavelength and peak $Q$ is at a shorter wavelength, $P$ corresponds to the $K_{\alpha}$ line and $Q$ corresponds to the $K_{\beta}$ line.Therefore, $P$ represents the $K_{\alpha}$ line and $Q$ represents the $K_{\beta}$ line.

In the characteristic $X$-ray spectra of an atom superimposed on a continuous $X$-ray spectrum, identify the peaks $P$ and $Q$ shown in the graph.

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