NEET · Physics · STD 12 - 13. Nuclei
Four statements are given (A is mass number) :
A. The volume of a nucleus is proportional to \(A^{1 / 3}\).
B. The volume of a nucleus is proportional to A.
C. The difference in mass of an atom and its nucleus is called the mass defect.
D. The difference in mass of a nucleus and its constituents is called the mass defect.
Choose the correct answer from the options given below :
- A A and C are true, but B and D are false
- B B and C are true, but A and D are false
- C A and D are true, but B and C are false
- D B and D are true, but A and C are false
Answer & Solution
Correct Answer
(D) B and D are true, but A and C are false
Step-by-step Solution
Detailed explanation
(D) B and D are true, but A and C are false
The radius of a nucleus is given by \(R=R_0 A^{1 / 3}\).
The volume of the nucleus is \(V=\frac{4}{3} \pi R^3=\frac{4}{3} \pi R_0^3 A\).
Thus, the volume of a nucleus is directly proportional to its mass number \(A\). Statement A is false and Statement B is true.
The mass defect is defined as the difference between the sum of the masses of the constituent nucleons (protons and neutrons) and the actual mass of the nucleus.
Thus, Statement C is false and Statement D is true.
Therefore, B and D are true, but A and C are false.
The radius of a nucleus is given by \(R=R_0 A^{1 / 3}\).
The volume of the nucleus is \(V=\frac{4}{3} \pi R^3=\frac{4}{3} \pi R_0^3 A\).
Thus, the volume of a nucleus is directly proportional to its mass number \(A\). Statement A is false and Statement B is true.
The mass defect is defined as the difference between the sum of the masses of the constituent nucleons (protons and neutrons) and the actual mass of the nucleus.
Thus, Statement C is false and Statement D is true.
Therefore, B and D are true, but A and C are false.
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