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પરમાણુઓ

10 MeV ઊર્જા ધરાવતો

straight alpha minus

કણ હેડ-ઑન સંઘાત અનુભવે છે, તો Z = 50 પરમાનુંક્રમાક ધરાવતા ન્યુક્લિયસથી તેનું Distance of Closest Approach કેટલું થશે ?

$1.44 space cross times space 10 to the power of negative 14 end exponent space straight m$
2.88 $cross times$ 10^-14 m
0.53 $cross times$ 10^-10m
$fraction numerator 0.53 space cross times space 10 to the power of negative 10 end exponent over denominator 50 end fraction space m$

હ ા ઇડ ્ ર ો જન space પરમ ા ણ ું space ઇલ ે ક ્ ટ ્ ર ૉ નન ી space સ ્ થ િ ત િ minus ઊર ્ જ ા space હ ો ય space fraction numerator negative straight e squared over denominator 4 straight pi element of subscript 0 times r end fraction space ત ો space ત ે ન ી space ગત િ minus ઊર ્ જ ા space ક ે ટલ ી space થશ ે space ?

$fraction numerator negative straight e squared over denominator 4 straight pi element of subscript 0 times straight r end fraction$
$fraction numerator straight e squared over denominator 8 straight pi element of subscript 0 times straight r end fraction$
$fraction numerator negative straight e squared over denominator 8 straight pi element of subscript 0 times straight r end fraction$
$negative space fraction numerator straight e squared over denominator 8 straight pi element of subscript 0 times straight r end fraction$

fraction numerator straight e squared over denominator 8 straight pi element of subscript 0 times straight r end fraction

Tips: -

ઇલેક્ટ્રૉનની ગતિ-ઊર્જા K = x હોય, તો ઇલેક્ટ્રૉનની કુલ ઊર્જા E = - x હોય છે તથા સ્થિતિ-ઊર્જા U =- 2x હોય છે.

તેથી અહીં જો સ્થિતિ-ઊર્જા = $fraction numerator negative space e squared over denominator 4 space pi element of subscript 0 times r end fraction$ હોય તો $negative space 2 x space equals space fraction numerator e squared over denominator 4 space pi element of subscript 0 times r end fraction$ થાય.

$therefore$ ગતિ-ઊર્જા K(=x) = $fraction numerator straight e squared over denominator 8 straight pi element of subscript 0 times straight r end fraction$