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Find the ratio of de-Broglie wavelengths...

Find the ratio of de-Broglie wavelengths associated with two electrons accelerated through 25 and 36 V.

Text Solution

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`V_(1) = 25 V, V_(2) = 36 V`
De-Broglie wavelength of an electron:
`lambda=(1.227)/(sqrtV)`
`lambda_(1)=(12.27)/(sqrtV_(1))`
and `lambda_(2)= (12.27)/(sqrtV_(2))`
`:. (lambda_(1))/(lambda_(2))=sqrt((V_(2))/(V_(1)))=sqrt((36)/(25))`
`(lambda_(1))/(lambda_(2))=(6)/(5)`
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