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Q.

A fission reaction is given by   92236U54140Xe+3894Sr+x+y, where x and y are two particles. Considering  92236U  to be at rest, the kinetic energies of the products are denoted by  Kxe,Ksr,Kx(2MeV) and ky(2 MeV), respectively, let the binding energies per nucleon of   92236U, 54140Xe and 3894Sr   be 7.5 MeV, 8.5 MeV and 8.5 MeV, respectively.Considering different conservation laws, the correct option(s) is (are) : (n- neutron, p- proton and e- electron).

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a

x=n,y=n,KSr=129MeV,KXe=86MeV

b

x=p,y=e,KSr=129MeV,KXe=86MeV

c

x=p,y=n,KSr=129MeV,KXe=86MeV

d

x=n,y=n,KSr=86MeV,KXe=129MeV

answer is A.

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Detailed Solution

By using mass and charge conservation for the given equation, we can find that for x and y their sum of charges is 0 and sum of masses is 2 hence options (B) and (C) are not correct.
In above fission reaction as initially  92236U  was at rest, after fission momentum will remain conserved and kinetic energy of the released fragment is related to its momentum as K=p22m.
As x and y are very small particles and will not carry very high momentum so energy of the smaller fragment has to be larger by conservation of momentum hence option (A) is correct. 

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