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JEE Mains · Physics · STD 12 - 13. Nuclei

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason \(R\). Assertion A : The nuclear density of nuclides \({ }_5^{10} B ,{ }_3^6 Li ,{ }_{26}^{56} Fe ,{ }_{10}^{20} Ne\) and \({ }_{83}^{209} Bi\) can be arranged as \(\rho_{ Bi }^{ N }>\rho_{ Fe }^{ N }>\rho_{ Ne }^{ N }>\rho_{ B }^{ N }>\rho_{ Li }^{ N }\). Reason \(R\) : The radius \(R\) of nucleus is related to its mass number \(A\) as \(R=R_0 A^{1 / 3}\), where \(R_0\) is a constant. In the light of the above statement, choose the correct answer from the options given below :

  1. A Both \(A\) and \(R\) are true and \(R\) is the correct explanation of \(A\)
  2. B \(A\) is false but \(R\) is true
  3. C \(A\) is true but \(R\) is false
  4. D Both \(A\) and \(R\) are true but \(R\) is \(NOT\) the correct explanation of \(A\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(A\) is false but \(R\) is true

Step-by-step Solution

Detailed explanation

Nuclear density is independent of \(A\).
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