1.

A microscopeusingsuitablephotonsisemployedto locatean electronin anatomwithina distanceof 0.1 A.whatis theuncertaintyinvolvedin themeasurementofitsvelocity .

Answer»

Solution :Accordingto uncertaintyprinciple
`Delta x = Delta p= (h )/(4pi)`
`Delta xm 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= KGM^(2) s^(2)`
`=5.797 xx 10^(6) ms^(1)= 5797nms^(1)`


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