Solveeit Logo

Question

Question: Consider the nuclear reaction X<sup>200</sup>® A <sup>110</sup> + B<sup>80</sup>. If the binding ene...

Consider the nuclear reaction X200® A 110 + B80. If the binding energy per nucleon for X, A and B are 7.4 MeV, 8.2 MeV and 8.1 MeV respectively, then the energy released in the reaction-

A

70 MeV

B

200 MeV

C

190 MeV

D

10 MeV

Answer

70 MeV

Explanation

Solution

For X : energy = 200 × 7.4 = 1480 MeV

For A : energy = 110 × 8.2 = 902 MeV

For B : energy = 80 × 8.1 = 648 MeV

\ Energy released = (902 + 648) – 1480

= 1550 – 1480

= 70 MeV