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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 B 5 10 , L 3 6 i , F 26 56 e , N 10 20 e and B 83 209 i can be arranged as ρ B i N > ρ F e N > ρ N e N > ρ B N > ρ L i 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, cho

Options

  1. ABoth A and R are true and R is the correct explanation of A
  2. BA is false but R is true
  3. CA is true but R is false
  4. DBoth A and R are true but R is NOT the correct explanation of A

Correct answer

B. A is false but R is true

Step-by-step solution

Nuclear density is given by, ρ = m 4 3 π R 0 3 , where m is mass of proton. Clearly it is independent of A and same for all nucleus. Radius of the nucleus is given by, R = R 0 A 1 3 .

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