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Question

The binding energy per nucleon of O16 is 7.97 MeV and that of O17 is 7.75 MeV. Then, the energy (in MeV) required to remove a neutron from O17 is

A

3.52

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B

3.64

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C

4.23

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D

7.86

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Solution

Step 1: Given that:The binding energy per nucleon for O16 = 7.97MeV The binding energy per nucleon for O17 = 7.75MeV Step 2: Calculation of energy (in MeV) required to remove a neutron from O17 :We have;O17⟶O16+10n Thus,Energy required= Binding energy per nucleon of O17 − Binding energy per nucleon of O16 = 17×7.75−16×7.97 = 131.75 − 127.52 = 4.23MeVThus,The energy required energy (in MeV) required to remove a neutron from O17 is 4.23MeVThus,Option D) 4.23MeV is the correct option.

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