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In the Coolidage tube experiment, if the...

In the Coolidage tube experiment, if the applied voltage is increased to three times, the short wavelength limit of continuous X- ray spectrum shift by 20 pm. What is the intial voltage (in kV) applied to the tube?

Text Solution

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The correct Answer is:
41
`:.` the cut-off wavelength for continuous x-ray is given as : `lambda_("min")=(hc)/(eV_(0))`
`:. (hc)/(eV_(0))=lambda...Eq (1.)`
`(hc)/(3eV_(0)) =lambda-Delta lambda....Eq(2.)`
(`V_(0)=` accelerating voltage)
`rArr V_(0) =(2hc)/(3eDelta lambda)=(2xx6.6 xx 10^(-34)xx 3 xx 10^(8))/(3xx1.6 xx 10^(-19) xx 20 xx 10^(-12))~~41kV`
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