List-I shows various functional dependencies of energy ( E ) on the atomic number ( Z ) . Energies associated with certain phenomena are given in List-II.
Choose the option that describes the correct

Question

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

TestHub · Accepted Answer

(P) Energy of H -like atom is ​ E = − 13.6 n 2 Z 2 ​ So E ∝ Z 2 P → ( 5 ) ​ (Q) Energy of characteristic X-ray by moseley's correction ​ E = − 13.6 ( Z − 1 ) 2 [ n 1 2 ​ 1 ​ − n 2 2 ​ 1 ​ ] So E ∝ ( Z − 1 ) 2 Q → ( 1 ) ​ (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

	List-I		List-II
$(P)$	$E p ro pt o Z^{2}$	$(1)$	energy of characteristic x-rays
$(Q)$	$E p ro pt o (Z - 1)^{2}$	$(2)$	electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range 30 to 170
$(R)$	$E p ro pt o Z (Z - 1)$	$(3)$	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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