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Itis foundexperimentallythat13.6 eVenergy is requiedto separatea hydrogenatomintoa protonand anelectron. Computetheorbitalradiusand thevelocityof theelectronin a hydrogenatom . |
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Answer» Solution :TOTAL energyof THEELECTRON in hydrogenatom is `-13.6 EV =- 13.6 xx 1.6xx 10^(-19) J=- 2.2 xx 10^(-18) J` wehave ` E=-(e^2 )/( 8 pi epsi_0 r)=- 2.2 xx 10^(-18) J` ` thereforer= (e^2)/( 8pi epsi_0 E )= (( 9xx 10^9 )(1.6 xx 10^(-19))^2)/((2)(-2.2 xx 10^(-18))) = 5.3 xx 10^(-11) m` ` v= (e )/(sqrt(4 pi epsi_0 m r ) )= ( 1.6 xx10^(-19))/(sqrt(4xx pi xx 8.85 xx 10^(-12) xx 9.1xx 10^(-31) xx 5.3 xx 10^(-11))) = 2.2 xx 10^(6)ms^(-1)` |
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