Exams › JEE Main › Physics
Read the following statements: (A) Volume of the nucleus is directly proportional to the mass number. (B) Volume of the nucleus is independent of mass number. (C) Density of the nucleus is directly proportional to the mass number. (D) Density of the nucleus is directly proportional to the cube root of the mass number. (E) Density of the nucleus is independent of the mass number. Choose the correct option from the following options.
- (A) and (D) only.
- (A) and (E) only.
- (B) and (E) only.
- (A) and (C) only.
Correct answer: (A) and (E) only.
Solution
The volume of the nucleus increases with mass number, supporting statement (A), while the density remains relatively constant regardless of mass number, which aligns with statement (E). Thus, both (A) and (E) are correct.
Related JEE Main Physics questions
- A radioactive specimen has activity \(R_1\) at time \(T_1\) and activity \(R_2\) at time \(T_2\). If its half-life is \(T\), then the number of atoms decayed during the interval \((T_1-T_2)\) is proportional to
- Which one of the following statements is true?
- A nucleus splits into two fragments, and the speeds of the fragments are in the ratio 2:1. What is the ratio of their nuclear radii?
- If \(M(A, Z)\), \(M_p\), and \(M_n\) represent, respectively, the mass of the nucleus \(^{A}_{Z}X\), the proton mass, and the neutron mass, all expressed in atomic mass units \((1\,u = 931.5\,\text{MeV}/c^2)\), and \(BE\) denotes the binding energy in MeV, which relation is correct?
- As the number of nucleons in a nucleus increases, how does the binding energy per nucleon change?
- A radioactive nucleus decays through the sequence \(A \xrightarrow{\alpha} A_1 \xrightarrow{\beta} A_2 \xrightarrow{\alpha} A_3 \xrightarrow{\gamma} A_4\). If nucleus \(A\) has mass number 180 and atomic number 72, what are the mass number and atomic number of \(A_4\)?
⚔️ Practice JEE Main Physics free + battle 1v1 →