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An X-ray tube operates at 10kV. Find the...

An X-ray tube operates at 10kV. Find the ratio of X-rays wavelength to that of de-broglie wavelength associated with incident electron.

A

`10:1`

B

`1:10`

C

`1:100`

D

`100:1`

Text Solution

Verified by Experts

The correct Answer is:
a
De-broglie wavelength `lambda=h/(sqrt(2mev))`
x-ray's wavelength `lambda'=(hc)/(eV)`
`(lambda')/lambda=(hc)/(eV)xx(sqrt(2meV))/h=csqrt((2m)/(eV))`
`=3xx10^(8)sqrt((2xx(9xx10^(-31)))/((1.6xx10^(-19))xx(10xx10^(3))))`
`=10.06~~10 `
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