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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Atomic Physics

NTA Abhyas 2020 · Physics · Atomic Physics

In the Coolidge tube experiment, if the applied voltage is...

In the Coolidge tube experiment, if the applied voltage is increased to three times, the short wavelength limit of continuous X−rayX - ray spectrum shifts by 20pm20pm. What is the initial voltage (in kVkV) applied to the tube?

Correct answer

41

Step-by-step solution

∵∵ cut-off wavelength for continuous x-ray is given as : {\lambda}_\min = \dfrac{hc}{e{V}_{0}}

∴∴ hceV0=λ and hc3eV0=λ−Δλ\dfrac{\text{hc}}{{\text{eV}}_{0}} = \lambda \text{ and } \dfrac{\text{hc}}{3 {\text{eV}}_{0}} = \lambda - \Delta \lambda

(V0=acceleratingvoltage)( {\text{V}}_{\text{0}} = \text{accelerating}\text{voltage} )

⇒V0=2hc3eΔλ=41kV⇒ {\text{V}}_{0} = \dfrac{2 \text{hc}}{3 \text{e} \Delta \lambda} = 4 1 \text{kV}
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