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The radius of the oxygen nucleus .(8)^(1...

The radius of the oxygen nucleus `._(8)^(16)O` is `2.8xx10^(-15)m`. Find the radius of lead nucleus `._(82)^(205)Pb`.

Text Solution

Verified by Experts

`R_(0)=2.8xx10^(-15)m , A_(0)=16`
`A_(Pb)=205 , R_(Pb) = ?`
`(R_(Pb))/(R_(0))=[(A_(Pb))/(A_(0))]^(1//3)=[(205)/(16)]^(1//3)`
`[because R=R_(0)A^(1//3)]`
`(R_(Pb))/(2.8xx10^(-15))=(12.82)^(1//3)=2.34`
`R_(Pb)=(2.34)xx2.8xx10^(_15)`
`= 6.55xx10^(-15)m`
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Knowledge Check

  • The radius of the oxygen nucleus (._8^16O) is 2.8xx10^(-15) m. Find the radius of the lead nucleus (._82^205Pb) .

    A
    `8.55xx10^(-15)` m
    B
    `6.55xx10^(-15)` m
    C
    `6.55xx10^(-13)` m
    D
    `4.55xx10^(-12)` m
  • The radius of the oxygen nucleus (""_(8)^(16)O) is 2.8xx10^(-15)m . Find the radius of the lead nucleus ( ""_(82)^(205)Pb) .

    A
    `8.55 xx10^(-15)m`
    B
    `6.55 xx10^(-15)m`
    C
    `6.55 xx10^(-13)m`
    D
    `4.55 xx10^(-12)m`
  • If the radius of a nucleus with mass number 125 is 1.5 fermi then radius of nucleus with mass number 64 is

    A
    0.48 fermi
    B
    0.96 fermi
    C
    1.92 fermi
    D
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