Match each functional dependence of energy on atomic number Z in List-I with the phenomenon in List-II. List - I List - II (I) E ∝ Z 2 (P) Energy of characteristic X-rays (II) E ∝ ( Z − 1 ) 2 (Q) Elec

Question

Match each functional dependence of energy on atomic number Z in List-I with the phenomenon in List-II.

List - I	List - II
(I) $E \propto Z^{2}$	(P) Energy of characteristic X-rays
(II) $E \propto (Z - 1)^{2}$	(Q) Electrostatic part of nuclear binding energy for stable nuclei, A = 30 to 170
(III) $E \propto Z (Z - 1)$	(R) Energy of continuous X-rays
(IV) E is practically independent of Z	(S) Average nuclear binding energy per nucleon for stable nuclei, A = 30 to 170
	(T) Energy of radiation from electronic transitions in hydrogen-like atoms

TestHub · Accepted Answer

E ∝ Z 2 for hydrogen-like transitions, so I → T. E ∝ ( Z − 1 ) 2 for characteristic X-rays, so II → P. E ∝ Z ( Z − 1 ) for the electrostatic nuclear term, so III → Q. Average binding energy per nucleon is nearly Z-independent, so IV → S. Hence option C.

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JEE Main 2027 (Class 12)