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A beam of helium atoms moves with a velo...

A beam of helium atoms moves with a velocity of `2xx10^(3) m s^(-1)`. Find the wavelength associated with helium atoms.

Text Solution

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Mass of helium atom = `(4)/(6.022 xx 10^(23))`
`= 6.64 xx 10^(-24) g = 6.64 xx 10^(-27) kg`
According to de-Broglie equation,
`lambda = h/(mv)`
`h = 6.626 xx 10^(-34) J s`
`m = 6.626 xx 10^(-27) kg`
`v = 2.0 xx 10^3 ms^(-1)`
`lambda = (6.626 xx 10^(34) kg m^2 s^(-1))/((6.64 xx 10^(-27) kg) xx (2.0 xx 10^3 ms^(-1)))`
`=4.99 xx 10^(-11) m`
`= 49.9 p m`
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