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પરમાણુઓ

હાઇડ્રોજન પરમાણું દ્વિતીય કક્ષાની ત્રિજ્યા R છે. તેની તૃતીય કક્ષાની ત્રિજ્યા કેટલી હશે ?

3 R
2.25 R
9 R
$straight R over 3$

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
$fraction numerator 0.53 space cross times space 10 to the power of negative 10 end exponent over denominator 50 end fraction space m$

1.44 space cross times space 10 to the power of negative 14 end exponent space straight m

Tips: -

Distance of Closest Approach ના સુત્રનો ઉપયોગ કરતાં,

$straight r subscript 0 space equals space fraction numerator 1 over denominator 4 space πε subscript 0 end fraction open parentheses fraction numerator 2 space Ze squared over denominator straight K end fraction close parentheses equals space fraction numerator 9 space cross times space 10 to the power of 9 space cross times 2 space cross times space 50 space cross times space left parenthesis 1.6 space cross times space 10 to the power of negative 19 end exponent right parenthesis squared over denominator 10 space cross times space 10 to the power of 6 space cross times space 1.6 space cross times space 10 to the power of negative 19 end exponent end fraction left parenthesis because space 1 space MeV space equals space 1 space cross times space 1.6 space cross times space 10 to the power of negative 19 space end exponent straight J right parenthesis equals space fraction numerator 9 space cross times space 10 to the power of 9 space cross times space 100 space cross times space 1.6 space cross times space 10 to the power of negative 19 end exponent over denominator 10 to the power of 7 end fraction equals space 14.4 space cross times space 10 to the power of negative 15 space end exponent straight m equals space 1.44 space cross times space 10 to the power of negative 14 space end exponent straight m$

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 ?

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