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In the Coolidge tube experiment, if the applied voltage is increased to three times, the short wavelength limit of continuous X-ray spectrum shifts by   20   pm . What is the initial voltage (in kV ) applied to the tube to the nearest integer value? [Take h c   =   12400   eV   A ∘ , e   =   1 . 6   ×   10 - 19   C ]

Correct answer

41

Step-by-step solution

∵ the cut-off wavelength for continuous x-ray is given as : λ min = h c e V 0 ∴ hc eV 0 = λ  &  hc 3 eV 0 = λ - Δ λ ( V 0 = accelerating   voltage ) ⇒   V 0 = 2 hc 3 e Δ λ ≈ 4 1  kV

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