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If the binding energy per nucleon in .(3...

If the binding energy per nucleon in `._(3)Li^(7)` and `._(2)He^(4)` nuclei are respectively `5.60` MeV and `7.06` MeV, then the ebergy of proton in the reaction `._(3)Li^(7) +p rarr 2 ._(2)He^(4)` is

A

19.6 MeV

B

`-2.4MeV`

C

`8.4MeV`

D

`17.3MeV`

Text Solution

Verified by Experts

The correct Answer is:
D

According to the question, binding enerrgy `._(3)^(7)Li` nucleus
`=7xx5.60MeV=39.2MeV`
Binding energy of `._(2)^(4)He` nucleus
`=4xx7.06MeV=28.24MeV`
the reaction is
`._(3)^(7)Li+._(1)^(2)H to 2(._(2)^(4)He)+Q`
`thereforeQ=2(BE" of "._(2)^(4)He)-(BE" of "._(3)^(7)Li)`
`=2xx2824MeV-39.2MeV`
`=56.48MeV-39.2MeV`
`=17.28MeV=17.3MeV`
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