List-I shows various functional dependencies of energy (E) on the atomic number (Z). Energies associated with certain phenomena are given in List-II. the option that describes the correct match between the entries in List-I to those in List-II. List-I List-II (P) E \ Z^2 (1) energy of characteristic

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List-I shows various functional dependencies of energy (E) on the atomic number (Z). Energies associated with certain phenomena are given in List-II. the option that describes the correct match between the entries in List-I to those in List-II. List-I List-II (P) E \ Z^2 (1) energy of characteristic x-rays (Q) E \ (Z-1)^2 (2) electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range 30 to 170 (R) E \ Z(Z-1) (3) energy of continuous x-rays (S) E is practically independent of Z (4) average nuclear binding energy per nucleon for stable nuclei with mass number in the range 30 to 170 (5) energy of radiation due to electronic transitions from hydrogen-like atoms

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Correct answer: C. P 5, Q 1, R 2, ~S 4

(P) Energy of H -like atom is aligned & E =-13.6 Z ^2 n ^2 So \ & E Z ^2 \ & P (5) aligned (Q) Energy of characteristic X-ray by moseley's correction aligned & E=-13.6(Z-1)^2 [ 1 n_1^2 - 1 n_2^2 ] So \ & E (Z-1)^2 \ & Q (1) aligned (R) Electrostatics binding energy is proportional to Z(Z-1) R (2) (S) For stable nuclei with mass no. in range 30 to 170 . Binding energy per nucleon is constant \& graph is straight line S (4) Ans. (C) is correct

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