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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. 19 xx 10 ^(5) ms ^(-1).` Calculate the de-Broglie wavelength associated with it .

Text Solution

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According to de-Broglie equation `lamda = ( h)/(mv)`
Where `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)`
`lamda = ( 6.63 xx 10 ^(-34) kg m ^(2) s ^(-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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