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Calculate the wavelength of an electr...

Calculate the wavelength of an electron moving with a velocity of `2.05 xx 10 ^(7) ms^(-1)`

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According to de - Broglie
`lambda = (h)/( mv )`
`h= 6.626 xx 10^(34) js` `v= 2.05 xx 10^(7) ms^(-1)` `m=9.1 xx 10^(31) kg`
`=(6.626 xx 10^(34) js)/( (9.1xx 30^(-31) kg )(2.05 xx 10^(7) ms^(-1)))`
`=0.3552 xx 10^(10) J s^(2) kg^(-1) m^(-1)`
`lambda = 3.552 xx 10^(11)` m= 35.52 pm
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Knowledge Check

  • calculate the wavelength (in nanometer ) associated with a electron moving at 1.0 xx 10^(3) ms^(-1) (m= 1.656 xx 10^(27))

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