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Characteristic Spectrum

When 50keV ...

Question

When $50 k e V$ electrons are made to incident on a target material, the wavelength of $K_{a}$ X-ray line was found to be $0.5 ˚ A$ . When the accelerating potential is increased to $100 k V$ , find the wavelength of $K_{a}$ - line from the same target.

A

0.25 ˚ A

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B

0.5 ˚ A

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C

0.75 ˚ A

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D

1.0 ˚ A

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Solution

The correct option is A $0.25 ˚ A$
Wavelength, $λ \propto \frac{1}{V} ∴ λ V = c o n s t a n t λ_{1} V_{1} = λ_{2} V_{2} λ_{2} = \frac{λ_{1} V_{1}}{V_{2}} = \frac{0.5 \times 50 k}{100 k} = 0.25 \circ A$

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