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A microscope using suitable photons ...

A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 A .what is the uncertainty involved in the measurement of its velocity .

Text Solution

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According to uncertainty principle
`Delta x = Delta p = (h )/( 4pi)`
`Delta x m Delta v = (h)/(4pi)`
`Delta v = (h )/( (4pi ) (Delta x) (m ))`
where `Delta x = 0.1A`
`0.1 xx 10^(10) m`
`h=6.626 xx 10^(34) Js`
`m_(e ) = 9.11 xx 10^(31) kg`
`pi = 3.14` `=0.5797 xx 10^(7) J sm^(-1) kg^(-1) J = kg m^(2) s^(2)`
`=5.797 xx 10^(6) ms^(1) = 5797 nms^(1)`
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