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If the velocity of the electron in Bohr'...

If the velocity of the electron in Bohr's first orbit is `2.19xx10^(6) m s^(-1)`, calculate the de Broglie wavelength associated with it.

Text Solution

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According to de-Broglie equation
`lambda = h/(mv)`
`m = 9.11 xx 10^(-31) kg`
`v = 2.19 xx 10^6 ms^(-1)`
`h = 6.63 xx 10^(-34) kg m^2 s^(-1)`
`:. Lambda = (6.63 xx 10^(-34) kg m^2s^(-1))/((9.11 xx 10^(-31) kg) xx (2.19 xx 10^6 ms^(-1)))`
`= 3.32 xx 10^(-10) m = 332 pm`
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