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A fission reaction is given by (92)^(236...

A fission reaction is given by `_(92)^(236) U rarr_(54)^(140) Xe + _(38)^(94)St + x + y` , where x and y are two particle Consider `_(92)^(236) U` to be at rest , the kinetic energies of the products are deneted by `k_(xe) K _(st) K _(x) (2MeV ) and `Ky(2MeV) repectively . Let the binding energy per nucleus of `_(92)^(236) U, _(54)^(140) Xe and _(38)^(94)St be 7.5 MeV , 8.4 MeV and 8.5 MeV, ` respectively Considering different conservation laws, the correct option (s) is (are)

A

`x = n, y = n, K_(Sr) = 129 MeV, K_(xe) = 86 MeV`

B

`x = p, y = e^(-), K_(Sr) = 129 MeV, K_(xe) = 86 MeV`

C

`x = p, y = n, K_(Sr) = 129 MeV, K_(xe) = 86 MeV`

D

`x = n, y = n, K_(Sr) = 86 MeV, K_(xe) = 129 MeV`

Text Solution

Verified by Experts

The correct Answer is:
A

`U rarr Xe+Sr+underset(2)(x)+underset(2)(y)`
`Q=4+K_(xe)+K_(sr)` …(i)
`-Q=E_(B)=236xx7.5-140xx8.5-94xx8.5`
`:. Q=219` …(ii)
`:. K_(xe)+K_(sr)=215 MeV`
Since, both x & y have same KE
`:.` both particles should have same mass & lighter body will have higher KE.
`:.` Ans. (A)
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