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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?

Correct answer

41

Step-by-step solution

∵ 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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