JEE Main 2025 Apr 3 Shift 1, Physics Q13: Mass-Energy and Nuclear Binding Energy

JEE Main2025Apr 3, Shift 1Physics

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. $_{0}^{1} n +_{92}^{235} U \to_{54}^{140} X e +_{38}^{94} S r + 2_{0}^{1} n$	I. Chemical reaction
B. $2 H_{2} + O_{2} \to 2 H_{2} O$	II. Fusion with $+ ve Q$ value
C. $_{1}^{2} H +_{1}^{2} H \to_{2}^{3} H e +_{0}^{1} n$	III. Fission
D. $_{1}^{1} H +_{1}^{3} H \to_{1}^{2} H +_{1}^{2} H$	IV. Fusion with $- ve Q$ value

Choose the correct answer from the options given below :

A
A-II, B-I, C-III, D-IV
B
A-III, B-I, C-II, D-IV
C
A-II, B-I, C-IV, D-III
D
A-III, B-I, C-IV, D-II

Solution

A. A neutron-induced splitting of $^{235} U$ into two large daughter nuclei plus neutrons is the textbook fission reaction. → III.

B. $H_{2}$ combining with $O_{2}$ to form water involves electron rearrangement only and is a chemical reaction. → I.

C. Two deuterons combining to form $^{3} He$ plus a neutron is fusion. This is the well-known D–D reaction which is exoergic ( $Q > 0$ ). → II.

D. $_{1}^{1} H +_{1}^{3} H \to_{1}^{2} H +_{1}^{2} H$ converts strongly bound tritium plus a proton into two more loosely bound deuterons. The Q-value works out negative; energy must be supplied. So it is fusion with $- ve Q$ . → IV.

$∴$ A-III, B-I, C-II, D-IV.

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JEE Main 2025 Apr 3 Shift 1, Physics Q13: Mass-Energy and Nuclear Binding Energy

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