# The Binding energy per nucleon of and He nuclei are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction, the value of energy Q released is: Option 1) 19.6 MeV Option 2) -2.4 MeV Option 3) 8.4 MeV Option 4) 17.3 MeV

Answers (1)

$_{3}^{7}\textrm{Li}+_{1}^{1}\textrm{H}\rightarrow _{2}^{4}\textrm{He}+_{2}^{4}\textrm{He}+Q$

Q value of reaction

$=2\times E_{He}-\left [ E_{Li} \right ]$

$=2\times \left [ 7.06\times4 \right ]-[7\times5.60]\:MeV$

=56.48 - 39.20 MeV

= 17.3 MeV

Option 1)

19.6 MeV

This option is incorrect.

Option 2)

-2.4 MeV

This option is incorrect.

Option 3)

8.4 MeV

This option is incorrect.

Option 4)

17.3 MeV

This option is correct.

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