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Under what potential difference should a...

Under what potential difference should an electron be accelerated to obtain de Broglie wavelength of 0.6Å ?
`(h = 6.62 xx 10^(-34) J.s, m_(e) = 9.1 xx 10^(-31) kg)`

Text Solution

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de Broglie wavelength, `lambda = (h)/(p) = (h)/(sqrt(2mE)) = (h)/(sqrt(2meV)) `
`therefore " " 2 me V = (h^(2))/(lambda^(2))`
or, V = `(h^(2))/(2me lambda^(2))`
= ` ((6.62 xx 10^(-34))^(2))/(2 xx (9.1 xx 10^(-31)) xx (1.6 xx 10^(-19))xx (0.6 xx 10^(-10))^(2))`
= 418 V
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