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Question

If radius of the scriptbase A l end scriptbase presubscript 13 end presubscript presuperscript 27 end presuperscript nucleus is estimated to be 3.6 Fermi then the radius of scriptbase T e end scriptbase presubscript 52 end presubscript presuperscript 125 end presuperscriptnucleus be nearly

  1. 4 Fermi    
  2. 5 Fermi    
  3. 6 Fermi    
  4. 8 Fermi    

The correct answer is: 6 Fermi


    r proportional to A to the power of 1 divided by 3 end exponent Þ fraction numerator r subscript 1 end subscript over denominator r subscript 2 end subscript end fraction equals open parentheses fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction close parentheses to the power of 1 divided by 3 end exponent
    Þ fraction numerator 3.6 over denominator r subscript 2 end subscript end fraction equals open parentheses fraction numerator 27 over denominator 125 end fraction close parentheses to the power of 1 divided by 3 end exponent equals fraction numerator 3 over denominator 5 end fraction Þ r subscript 2 end subscript equals 6 F e r m i

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