1.

If thephotonof thewavlength150pmstrikesan atomandone of tisinnerboundelectronisejectredout witha velocityof 1.5 xx 10^(7)ms^(-7)calculatethe energywith whichit isboundtothe nucleus .

Answer»

Solution :Calculationof kineticenergy
massof electron(m )= 9.1 `xx10^(31) KG`
velocityof ejectedelectron( v) =1.5 `xx 10^(7) NM^(1)`
`KE = (1)/(92) mv^(2)`
`=(1)/(2)(9.1 xx 10^(31) kg(1.5 xx 10^(7)ms^(-1) )`
`=10.2375xx 10^(17)`
`1.02375 xx 10^(16) kgm^(2) s^(2)`
Applyingenergy
`=1.3252 xx 10^(15)J =13.252xx 10^(16) J`
Energybondto thenucleus `(E_(0))`= minimumenergyrequiredfor ejectredelectron(e )
`E_(0)= (E- KE)`
`=(13.252 xx 10^(16) J)(1.02375xx 10^(16)J)`
`=(12.228 xx 10^(16)) + (1.602 xx 10^(19))`
`=7.5483 xx 10^(3) eV`


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