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Binding Energy

find energy r...

Question

find energy released when two ₁H² nuclei fuse to form one ₂He⁴ nucleus. BEN of H and He are 1.1 MeV and 7 MeV respectively.

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Solution

$S i n c e t h e b i n d i n g e n e r g y p e r n u c l e o n i s g i v e n h e n c e B i n d i n g e n e r g y o f t h e_{2} H e^{4} = 4 \times 7 M e V = 28 M e V B i n d i n g e n e r g y o f t h e_{1} H^{2} = 2 \times 1.1 M e V = 2.2 M e V s o ∆ E = 2 [m a s s o f_{1} H^{2}] - [m a s s o f_{2} H e^{4}] ∆ E = 2 [M_{p} + M_{n} - 2.2] - [2 M_{p} + 2 M_{n} - 28] ∆ E = 2 M_{p} + 2 M_{n} - 4.4 - 2 M_{p} - 2 M_{n} + 28 ∆ E = 23.6 M e V$

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